A Large-N Reduced Model as Superstring

Abstract

A matrix model which has the manifest ten-dimensional N=2 super Poincare invariance is proposed. Interactions between BPS-saturated states are analyzed to show that massless spectrum is the same as that of type IIB string theory. It is conjectured that the large-N reduced model of ten-dimensional super Yang-Mills theory can be regarded as a constructive definition of this model and therefore is equivalent to superstring theory.

29 pages, Latex, a footnote and references added, eq.(3.52) corrected, minor corrections

Cited by in corpus (766)

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• Gaussian and Mean Field Approximations for Reduced Yang-Mills Integrals
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• Quadrality for Supersymmetric Matrix Models
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• Emergent Geometry and Quantum Gravity
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• Measuring finite Quantum Geometries via Quasi-Coherent States
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• Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds
• Lectures on Matrix Field Theory I
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• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
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• Large N reduction for Chern-Simons theory on S^3
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• Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
• USp(2k) Matrix Model: Nonperturbative Approach to Orientifolds
• Rotational Symmetry Breaking in Multi-Matrix Models
• An extended standard model and its Higgs geometry from the matrix model
• Self-intersecting fuzzy extra dimensions from squashed coadjoint orbits in $\mathcal{N}=4$ SYM and matrix models
• Open membranes, ribbons and deformed Schild strings
• Higher-spin gravity and torsion on quantized space-time in matrix models
• Gauge Theories on Deformed Spaces
• Application of Bootstrap to $\theta$-term
• On Matrix Model Formulations of Noncommutative Yang-Mills Theories
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• Supergravity Couplings of Noncommutative D-branes
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• Matrix Model Cosmology in Two Space-time Dimensions
• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• Bulk geometry in gauge/gravity duality and color degrees of freedom
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• B-branes and supersymmetric quivers in 2d
• On the 1-loop effective action for the IKKT model and non-commutative branes
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• Space-Time and Matter in IIB Matrix Model - gauge symmetry and diffeomorphism -
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• Dark Energy and String Theory
• Emergent Geometry from Quantized Spacetime
• Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping
• Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model
• Lorentzian Fuzzy Spheres
• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
• N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature
• Nonabelian Monopoles from Matrices: Seeds of the Spacetime Structure
• Universality of Nonperturbative Effects in c<1 Noncritical String Theory
• Nonabelian gauge field and dual description of fuzzy sphere
• Information metric, Berry connection and Berezin-Toeplitz quantization for matrix geometry
• On The Field Theory Limit Of D-Instantons
• Quasiparticle picture of black holes and the entropy--area relation
• Quantum Gravity from Noncommutative Spacetime
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Interaction between two Fuzzy Spheres
• Gauge fixing in the tensor model and emergence of local gauge symmetries
• Defect wormhole: A traversable wormhole without exotic matter
• The Hagedorn Transition and the Matrix Model for Strings
• The world as quantized minimal surfaces
• Matrix geometries and Matrix Models
• Strong Coupling Limit of Open String: Born-Infeld Analysis
• Quantum (Matrix) Geometry and Quasi-Coherent States
• N=4 super Yang-Mills matrix integrals for almost all simple gauge groups
• Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems
• Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories
• Matrix Sigma-models for Multi D-brane Dynamics
• Matrix Theory in a Constant C Field Background
• Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions
• Spinning squashed extra dimensions and chiral gauge theory from $\mathcal{N}=4$ SYM
• Fuzzy Torus in Matrix Model
• Toward QCD on Quantum Computer: Orbifold Lattice Approach
• Instantons, Twistors, and Emergent Gravity
• On the Deformation Quantization Description of Matrix Compactifications
• Improved Perturbation Method and its Application to the IIB Matrix Model
• Four-Dimensional Gravity on a Covariant Noncommutative Space (II)
• Short-Distance Space-Time Structure and Black Holes in String Theory : A Short Review of the Present Status
• Curved-space classical solutions of a massive supermatrix model
• Schwarzschild Geometry Emerging from Matrix Models
• Lie 2-algebra models
• Covariant Formulation of M-Theory
• 1/4-BPS states on noncommutative tori
• Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds
• Partial Deconfinement at Strong Coupling on the Lattice
• Model of M-theory with Eleven Matrices
• Curvature and Gravity Actions for Matrix Models II: the case of general Poisson structure
• M-theory and the birth of the Universe
• Realizing three generations of the Standard Model fermions in the type IIB matrix model
• Quantization of Emergent Gravity
• The fluctuation spectra around a Gaussian classical solution of a tensor model and the general relativity
• Multi-matrix models at general coupling
• Classical Solutions of the TEK Model and Noncommutative Instantons in Two Dimensions
• Matrix string states in pure 2d Yang Mills theories
• Local field theory from the expanding universe at late times in the IIB matrix model
• On Lie-algebraic solutions of the type IIB matrix model
• Three-algebra for supermembrane and two-algebra for superstring
• A Twistorial Description of the IKKT-Matrix Model
• Four-dimensional N=1 super Yang-Mills from matrix model
• Fuzzy Spacetime with SU(3) Isometry in IIB Matrix Model
• $L_{\infty }$-Algebra Models and Higher Chern-Simons Theories
• Factorization of the Effective Action in the IIB Matrix Model
• On the Phase Structure of Commuting Matrix Models
• Realizing chiral fermions in the type IIB matrix model at finite N
• Large N reduction on coset spaces
• Curvature and Gravity Actions for Matrix Models
• World Volume Noncommutativity versus Target Space Noncommutativity
• Type II pp-wave Matrix Models from Point-like Gravitons
• Euler Top Dynamics of Nambu-Goto P-Branes
• Myers Effect and Tachyon Condensation
• Yang-Mills Matrix Theory
• Fermions on curved backgrounds of matrix models
• Noncommutative Gauge Theory and Gravity in Three Dimensions
• Chern-Simons Hadronic Bag from Quenched Large-N QCD
• The emergence of expanding space-time and intersecting D-branes from classical solutions in the Lorentzian type IIB matrix model
• Testing the Gaussian expansion method in exactly solvable matrix models
• Noncommutative brane-world, (Anti) de Sitter vacua and extra dimensions
• Kähler structure in the commutative limit of matrix geometry
• Dualities of Fields and Strings
• Monte Carlo studies of the spontaneous rotational symmetry breaking in dimensionally reduced super Yang-Mills models
• D1-Strings in Large RR 3-Form Flux, Quantum Nambu Geometry and M5-Branes in C-Field
• Tachyon Condensation and Graviton Production in Matrix Theory
• Rotating Toroidal Branes in Supermembrane and Matrix Theory
• Near commuting multi-matrix models
• Unitary IIB Matrix Model and the Dynamical Generation of the Space Time
• Operator growth bounds in a cartoon matrix model
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Note on a fermionic solution of the matrix model and noncommutative superspace
• Graviton Propagators on Fuzzy G/H
• Vertex Operators for the Supermembrane and Background Field Matrix Theory
• Twisted Eguchi-Kawai Reduced Chiral Models
• Brane compactifications and 4-dimensional geometry in the IKKT model
• Graviton Propagators in Supergravity and Noncommutative Gauge Theory
• Five-dimensional Supergravity and Hyperbolic Kac-Moody Algebra G2H
• Yang-Mills Integrals
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• One-loop stabilization of the fuzzy four-sphere via softly broken SUSY
• Correlators of Matrix Models on Homogeneous Spaces
• What lattice theorists can do for superstring/M-theory
• Supersymmetry and DLCQ Limit of Lie 3-algebra Model of M-theory
• A practical solution to the sign problem in a matrix model for dynamical compactification
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• Loop Quantum Mechanics and the Fractal Structure of Quantum Spacetime
• Perturbative Vacua from IIB Matrix Model
• Higher spin gauge theory on fuzzy $S_N^4$
• Large N limit of 2D Yang-Mills Theory and Instanton Counting
• Supercurrent Interactions in Noncommutative Yang-Mills and IIB Matrix Model
• A Possible IIB Superstring Matrix Model with Euler Characteristic and a Double Scaling Limit
• Chiral anomalies in the reduced model
• Supersymmetric Wilson Loops in IIB Matrix Model
• From elasticity tetrads to rectangular vielbein
• Cosmic time evolution and propagator from a Yang-Mills matrix model
• N=2 3d-Matrix Integral with Myers Term
• Generalized Fuzzy Torus and its Modular Properties
• On the Newtonian limit of emergent NC gravity and long-distance corrections
• Matrix theory compactifications on twisted tori
• Note on Gauge Theory on Fuzzy Supersphere
• Supersymmetric reduced models with a symmetry based on Filippov algebra
• Big bang as a topological quantum phase transition
• Supersymmetry algebra and BPS states of super Yang-Mills theories on noncommutative tori
• A Type IIB Matrix Model via non-Abelian T-dualities
• Discrete Noncommutative Gauge Theory
• Connections between M-theory and superstrings
• One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model
• Supermatrix models for M-theory based on osp(1|32,R)
• On the structure of the emergent 3d expanding space in the Lorentzian type IIB matrix model
• One-loop effective action of the IKKT model for cosmological backgrounds
• Zariski Quantization as Second Quantization
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Wilson Loops and Vertex Operators in Matrix Model
• The Area Law in Matrix Models for Large N QCD Strings
• Note on Noncommutative Tachyon in Matrix Models
• Two-Dimensional Gauge Theory and Matrix Model
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Gravity and compactified branes in matrix models
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• Bosonic Massless Higher Spin Fields from Matrix Model
• Matrix Models
• Space as a low-temperature regime of graphs
• Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models
• Duality of Super D-brane Actions in General Type IIB Supergravity Background
• de Sitter Harmonies: Cosmological Spacetimes as Resonances
• Strings as Flux Tube and Deconfinement on Branes in Gauge Theories
• D-instantons probing D3-branes and the AdS/CFT correspondence
• New critical behavior in a supersymmetric double-well matrix model
• Renormalization group approach to matrix models via noncommutative space
• Matrix models and the gravitational interaction
• Exact Vacuum Energy of Orbifold Lattice Theories
• Quadrupole Instabilities of Relativistic Rotating Membranes
• Multi-cut Solutions in Chern-Simons Matrix Models
• The Flavoured BFSS Model at High Temperature
• Solitons for the fuzzy sphere from matrix model
• Thermodynamic Behavior of Fuzzy Membranes in PP-Wave Matrix Model
• Wilson Line Correlators in N=4 Non-commutative Gauge Theory on S^2 x S^2
• Nonabelian Berry Phase, Yang-Mills Instanton and USp(2k) Matrix Model
• Adding a Myers Term to the IIB Matrix Model
• On the supersymmetric formulation of Unitary Matrix Model of type IIB
• Tracy-Widom distribution as instanton sum of 2D IIA superstrings
• Path Integral Equivalence between Super D-string and IIB Superstring
• Entanglement entropy in scalar field theory on the fuzzy sphere
• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
• High Temperature Limit of the N= 2 Matrix Model
• Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
• Vertex Operators for Super Yang-Mills and Multi D-Branes in Green-Schwarz Superstring
• Spontaneous Supersymmetry Breaking by Large-N Matrices
• Topology Change From Quantum Instability of Gauge Theory on Fuzzy CP^2
• Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons
• Fuzzy $C{P}^2$ Space-Times
• Vacuum-defect wormholes and a mirror world
• Complex Langevin studies of the emergent space-time in the type IIB matrix model
• Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces
• Covariant Open String Field Theory on Multiple $Dp$-Branes
• Highly Effective Action from Large N Gauge Fields
• A renormalization group method for studying the early universe in the Lorentzian IIB matrix model
• Supersymmetric double-well matrix model as two-dimensional type IIA superstring on RR background
• Probability of the Standard Model Appearance from a Matrix Model
• Admissibility Condition and Nontrivial Indices on a Noncommutative Torus
• The Large N Reduction in Matrix Quantum Mechanics -- a Bridge between BFSS and IKKT --
• String Theoretical Interpretation for Finite N Yang-Mills Theory in Two-Dimensions
• Towards Gauge theory for a class of commutative and non-associative fuzzy spaces
• Brane-Antibrane Systems at Finite Temperature and Phase Transition near the Hagedorn Temperature
• D-branes and KK-theory in Type I String Theory
• The QCD Membrane
• Field Theory as a Matrix Model
• Interaction of D-string with F-string: A Path-Integral Formalism
• Matrix Theory, Hilbert Scheme and Integrable System
• Noncommutative String Worldsheets from Matrix Models
• Thermodynamics of Large N Gauge Theories with Chemical Potentials in a 1/D Expansion
• Quantum gravity equation in large N Yang-Mills quantum mechanics
• Noncommutative Static Strings from Matrix Models
• Perturbative world-volume dynamics of the bosonic membrane and string
• The matrix regularization for Riemann surfaces with magnetic fluxes
• Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
• Universality and the dynamical space-time dimensionality in the Lorentzian type IIB matrix model
• Emergent Early Universe Cosmology from BFSS Matrix Theory
• Entropy of Operator-valued Random Variables: A Variational Principle for Large N Matrix Models
• Interactions Between Branes and Matrix Theories
• Matrix Models: Fermion Doubling vs. Anomaly
• Towards an "AdS${}_1/$CFT${}_0$" correspondence from the D$(-1)/$D$7$ system?
• Intertwining noncommutativity with gravity and particle physics
• Large N Reductions and Holography
• Exercising in K-theory: Brane Condensation without Tachyon
• A Renormalization Group Approach to A Yang-Mills Two Matrix Model
• D-brane Scattering in IIB String Theory and IIB Matrix Model
• Heat kernel expansion and induced action for the matrix model Dirac operator
• Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang-Mills matrix models
• Monte Carlo studies on the expanding behavior of the early universe in the Lorentzian type IIB matrix model
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• The Matrix model and the non-commutative geometry of the supermembrane
• On Poisson geometries related to noncommutative emergent gravity
• IIB matrix model and regularized big bang
• String Geometry and Non-perturbative Formulation of String Theory
• Simulating Simplified Versions of the IKKT Matrix Model
• Statistical Physics of the Polarised IKKT Matrix Model
• Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
• Critical Behaviour of the Fuzzy Sphere
• Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
• Open String Fields as Matrices
• Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
• Direct derivation of the Veneziano-Yankielowicz superpotential from matrix model
• Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
• Exotic trees
• A new method for probing the late-time dynamics in the Lorentzian type IIB matrix model
• One-point functions of non-SUSY operators at arbitrary genus in a matrix model for type IIA superstrings
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• Three Introductory Lectures in Helsinki on Matrix Models of Superstrings
• Emergent gravity from the IIB matrix model and cancellation of a cosmological constant
• String modes, propagators and loops on fuzzy spaces
• The Fuzzy Kaehler Coset Space with the Darboux Coordinates
• The curvature of branes, currents and gravity in matrix models
• Green-Schwarz superstring from type IIB matrix model
• Large-N Gauge Theories
• Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus $SU(\infty )$-QGR
• A note on higher spin symmetry in the IIB matrix model with the operator interpretation
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• Berry's Connection and USp(2k) Matrix Model
• Numerical Analysis of the Double Scaling Limit in the IIB Matrix Model
• Open String on Symmetric Product
• p-Branes from Generalized Yang-Mills Theory
• Advances and applications of lattice supersymmetry
• On the Equivalence of Noncommutative Models in Various Dimensions and Brane Condensation
• Lectures in Quantum Gravity
• Localization on the D-brane, two-dimensional gauge theory and matrix models
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• Contact terms, symmetries and D-instantons
• Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
• Extension of IIB Matrix Model by Three-Algebra
• Progress toward the Determination of Complete Vertex Operators for The IIB Matrix Model
• Polyakov Lines in Yang-Mills Matrix Models
• On Tachyon Condensation of Intersecting Noncommutative Branes in M(atrix) Theory
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Phase structure of the large-N reduced gauge theory and generalized Weingarten model
• Ghost D-brane, Supersymmetry and Matrix Model
• Large-scale computation of the exponentially expanding universe in a simplified Lorentzian type IIB matrix model
• Discrete and Continuous Bogomolny Equations through the Deformed Algebra
• The Fuzzy S^4 by Quantum Deformation
• A note on graviton exchange in emergent gravity scenario
• Vector profile and gauge invariant observables of string field theory solutions for constant magnetic field background
• Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions
• Closed string symmetries in open string field theory: tachyon vacuum as sine-square deformation
• Do Quarks Obey D-Brane Dynamics?
• Hidden Symmetry Unmasked: Matrix Theory and E(11)
• Gauge Invariance and Noncommutativity
• Type IIB Random Superstrings
• Quantum Hall Effect on the Grassmannians ${\mathbf{Gr}}_2({\mathbb{C}}^N)$
• Effective Actions of IIB Matrix Model on S^3
• Phase space quantization, noncommutativity and the gravitational field
• Non-commutativity, Zero modes and D-brane Geometry
• Introduction to Monte Carlo for Matrix Models
• Spherically symmetric solutions of higher-spin gravity in the IKKT matrix model
• Emergent Spacetime for Quantum Gravity
• A note on quantization of matrix models
• Superfield formulation of 4D, N=1 massless higher spin gauge field theory and supermatrix model
• Applications of the overlap formalism to super Yang-Mills theories
• Effective Action and Measure in Matrix Model of IIB Superstrings
• The Concept of a Noncommutative Riemann Surface
• Cohomological Field Theory Approach to Matrix Strings
• Fermionic Backgrounds and Condensation of Supergravity Fields in IIB Matrix Model
• Dynamical phase space from a SO(d,d) matrix model
• Geometry in transition in four dimensions: A model of emergent geometry in the early universe and dark energy
• Emergent 4D Gravity from Matrix Models
• Quantum Gravity as a Multitrace Matrix Model
• Superstring vertex operators in type IIB matrix model
• Yang-Mills Integrals
• Remarks on Covariant Matrix Strings
• Dimensional oxidization on coset space
• Wrapped membranes, matrix string theory and an infinite dimensional Lie algebra
• The First Thirty Years of Large-N Gauge Theory
• Reduced Models and Noncommutative Gauge Theories
• Laplacians on Fuzzy Riemann Surfaces
• A first look at the bosonic master-field equation of the IIB matrix model
• Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
• A Proposal for a Non-Perturbative Regularization of {\cal N}=2 SUSY 4D Gauge Theory
• Blocking up D-branes : Matrix renormalization ?
• Point-Like Graviton Scattering in Plane-Wave Matrix Model
• Construction of a topological charge on fuzzy S^2 x S^2 via Ginsparg-Wilson relation
• Probe brane dynamics on cosmological brane backgrounds
• Quantized Kähler Geometry and Quantum Gravity
• Matrix model with manifest general coordinate invariance
• Dynamical Generation of Non-Abelian Gauge Group via the Improved Perturbation Theory
• Matrix and tensor witnesses of hidden symmetry algebras
• Algebraic Structure in 0<c<1 Open-Closed String Field Theories
• The multitrace matrix model: An alternative to Connes NCG and IKKT model
• A generalized volume law for entanglement entropy on the fuzzy sphere
• Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter
• Deformation of Schild String
• Correlation functions and renormalization in a scalar field theory on the fuzzy sphere
• Analytic trajectory bootstrap for matrix models
• Matrix Model for Dirichlet Open String
• The Geometry of Jordan Matrix Models
• New Fuzzy Extra Dimensions from $SU(\mathcal{N})$ Gauge Theories
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• An Index for Intersecting Branes in Matrix Models
• Commutative Geometry for Non-commutative D-branes by Tachyon Condensation
• IIB matrix model: Extracting the spacetime metric
• Lattice Superstring and Noncommutative Geometry
• IIB Matrix Model with D1-D5 Backgrounds
• Master Field on Fuzzy Sphere
• Dominance of a single topological sector in gauge theory on non-commutative geometry
• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• Axial Anomaly in the $SU(N)$ Gauge Matrix Model
• Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
• Black Hole and Fuzzy Objects in BFSS Matrix Model
• The instability of intersecting fuzzy spheres
• Axial anomaly in the reduced model: Higher representations
• Matrix Models, Emergent Gravity, and Gauge Theory
• Local Commutativity and Causality in Interacting PP-wave String Field Theory
• Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
• Matrix Configurations for Spherical 4-branes and Non-commutative Structures on S^4
• Bulk Witten Indices from D=10 Yang Mills Integrals
• Four-algebraic extension of the IIB matrix model
• Matrix Model and Ginsparg-Wilson Relation
• Emergent Spacetime and Cosmic Inflation
• Equivariant Fields in an $SU(\mathcal{N})$ Gauge Theory with new Spontaneously Generated Fuzzy Extra Dimensions
• Stability of the Matrix Model in Operator Interpretation
• Comparative studies of the deformation techniques for the singular-drift problem in the complex Langevin method
• Contravariant geometry and emergent gravity from noncommutative gauge theories
• Continuum limit(s) of BMN matrix model: Where is the (nonabelian) gauge group?
• On the foundations of quantum theory
• The $x_i$-eigenvalue problem on some new fuzzy spheres
• Categorical Perspective on Quantization of Poisson Algebra
• Twisted K-theory in $g>1$ from D-branes
• Two approaches to quantum gravity and M-(atrix) theory at large number of dimensions
• Large-N behaviors of the IIB matrix model and the regularized Schild models
• Large N Optimization for multi-matrix systems
• On the large N limit, W_\infty Strings, Star products, AdS/CFT Duality, Nonlinear Sigma Models on AdS spaces and Chern-Simons p-branes
• Category of Quantizations and Inverse Problem
• Q-field from a 4D-brane: Cosmological constant cancellation and Minkowski attractor
• A Scaling Relation, $Z_m$-type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large-$N$ Gauge Theories
• Regularization of matrices in the covariant derivative interpretation of matrix models
• Numerical Analysis of the Double Scaling Limit in the bosonic part of the IIB Matrix Model
• Maxwell Theory from Matrix Model
• Generalized Gauge Theories and Weinberg-Salam Model with Dirac-Kähler Fermions
• Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
• Matrix model and Yukawa couplings on the noncommutative torus
• Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models
• Scaling Behaviors of Branched Polymers
• Zerobrane Matrix Mechanics, Monopoles and Membrane Approach in QCD
• Pure spinor computation towards open string three-loop
• 2D Yang-Mills Theory as a Matrix String Theory
• Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds
• Notes on noncommutative supersymmetric gauge theory on the fuzzy supersphere
• Interaction of F- and D-strings in the Matrix Model
• D-brane Analyses for BPS Mass Spectra and U-duality
• Matrix Orientifolding and Models with Four or Eight Supercharges
• Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry
• Type IIB Matrix Theory at Two Loops
• D-dependence of gap between critical temperatures in one-dimensional gauge theories
• Planar Homological Mirror Symmetry
• Non-commutative Field Theory on S^4
• Nonperturbative Formulations of Superstring Theory
• Special solutions of a discrete Painlevé equation for quantum minimal surfaces
• Non-commutative Euclidean structures in compact spaces
• Putting M theory on a computer
• Representation of SU(infinity) Algebra for Matrix Models
• Special Geometries Emerging from Yang-Mills Type Matrix Models
• Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
• Variational ansatz for gaussian + Yang-Mills two matrix model compared with Monte-Carlo simulations in 't Hooft limit
• Low dimensional matrix representations for noncommutative surfaces of arbitrary genus
• String coupling and interactions in type IIB matrix model
• Diffeomorphisms on Fuzzy Sphere
• Emergent geometry of membranes
• A Note on (D(p-2),Dp) Bound State and Noncommutative Yang-Mills Theory
• (3+1)-dimensional expanding universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
• Spatially flat cosmological quantum spacetimes
• Random lattice strings vs. type IIB matrix models
• Topological Symmetry, Background Independence, and Matrix Models
• Compactified rotating branes in the matrix model, and excitation spectrum towards one loop
• Introducing Dynamical Triangulations to the Type IIB Superstrings
• Noncommutative Gauge Theories and Gravity
• Oscillating D-Strings from IIB Matrix Theory
• BTZ Black Hole Entropy from a Chern-Simons Matrix Model
• Non-commutative Weitzenboeck geometry, gerbe modules, and WZW branes
• Little IIB Matrix Model
• Quantisation of type IIB superstring theory and the matrix model
• Background Independent Matrix Models
• Chiral low-energy physics from squashed branes in deformed $\mathcal{N}=4$ SYM
• Possible explanations for fine-tuning of the universe
• Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models
• Time-Delay at Higher Genus in High-Energy Open String Scattering
• Quantum Mechanics and the Continuum Limit of an Emergent Geometry
• Oxidation, Reduction and Semi-Classical Limit for Quantum Matrix Geometries
• Monte Carlo Simulations of BFSS and IKKT Matrix Models
• Black Holes: A Window into A New Theory of Space Time
• Horizon Branes and Chiral Strings
• Massless graviton in a model of quantum gravity with emergent spacetime
• Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics
• Witten's Cubic Open String Field Theory on multiple $Dp$-branes
• Matrix at strong coupling
• Exploring the gravity sector of emergent higher-spin gravity: effective action and a solution
• IIB matrix model: Emergent spacetime from the master field
• On the Quantum Geometry of String Theory
• Geometric torsion, 4-form, Riemann duals and Quintessence
• String with noncommutative world-sheet and stringy instantons
• Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models
• Gauge theories on noncommutative $\mathbb{C}{P}^N$ and BPS-like equations
• D-instantons and Matrix Models
• Non-commutativity in Unified Theories and Gravity
• Fermions Coupled to Emergent Noncommutative Gravity
• Quantum mechanics without spacetime II : noncommutative geometry and the free point particle
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• Note on a Closed String Field Theory from Bosonic IIB Matrix Model
• Recent developments in the type IIB matrix model
• Partition Functions of Reduced Matrix Models with Classical Gauge Groups
• Axial anomaly in the reduced model: Higher representations
• Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
• Schwinger-Dyson operator of Yang-Mills matrix models with ghosts and derivations of the graded shuffle algebra
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
• Matrix Models, Large N Limits and Noncommutative Solitons
• A Lattice Formulation of Two Dimensional Topological Field Theory
• Non-BPS D9-branes in the Early Universe
• M-Branes and Their Interactions in Static Matrix Model
• SL(2,R) matrix model and supersymmetric Yang-Mills integrals
• Modeling M-Theory Vacua via Gauged S-Duality
• Classical Solutions of a Torsion Gravity from a Large N Matrix Model
• A New Proposal for Matrix Theory
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• Electric-Magnetic Duality in IIB Matrix Model with D-brane
• Supersymmetric extension of Moyal algebra and its application to the matrix model
• The Factorization Method for Monte Carlo Simulations of Systems With a Complex Action
• Tiny Graviton Matrix Theory On Time-Dependent Background
• Dynamical Properties of Large N Reduced Model of Yang-Mills Theory
• Commuting signs of infinity
• Replicas, averaging and factorization in the IIB matrix model
• Symmetrization of the Berezin Star Product and Multiple Star Product Method
• Strings as particle arrays
• Finite Temperature Closed Superstring Theory
• Relations between Non-Commutative and Commutative Spacetime
• Quantum Minimal Surfaces
• Time and a Temporally Statistical Quantum Geometrodynamics
• Oblique DLCQ M-theory and Multiple M2-branes
• Creation of D9-brane--anti-D9-brane Pairs from Hagedorn Transition of Closed Strings
• Gravity Amplitudes from a Gaussian Matrix Model
• Large-N Limit as a Classical Limit: Baryon in Two-Dimensional QCD and Multi-Matrix Models
• Vertex operators of Type IIB matrix model via calculation of disk amplitudes
• D-particle Field Category
• A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations
• Heat kernel expansion and induced action for matrix models
• Anomalous Interactions of Five Dimensional USp(2k) Gauge Theory
• Proposal of a topological M(atrix) theory
• Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking
• The dynamics of zero modes in lattice gauge theory -- difference between SU(2) and SU(3) in 4D
• Randomized Wilson loops, reduced models and the large D expansion
• Gauge Symmetry Breaking in Matrix Models
• Matrix at slow roll: Nonrelativistic and Perturbative
• Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms
• Emergent Geometries from the BMN Matrix Model
• Matrix equations and trilinear commutation relations
• Regularized big bang singularity: Geodesic congruences
• A theory of time based on wavefunction collapse
• Quantum Algebra of Chern-Simons Matrix Model and Large $N$ Limit
• Fuzzy Black Holes from Mass Generation in Matrix Compactification
• Comments on Large N Matrix Model
• Chaos in M(atrix) Theory
• Eigenvalue Dynamics and the Matrix Chain
• Matrix Models, Emergent Spacetime and Symmetry Breaking
• On the emergence of an expanding universe from a Lorentzian matrix model
• Representations of Quantum Minimal Surface Algebrasvia Kac-Moody-theory
• Twisting BFSS & IKKT
• Large N Matrix Field Theories
• Holomorphically Covariant Matrix Models
• Super Yang-Mills Theory from a Supermatrix Model
• Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic IIB Matrix Model
• Generalized Higher Gauge Theory and M5-brane dynamics. Proceedings: Higher structures in String and M-theory, Tohoku Forum for Creativity, March 7-11 2016
• Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings
• Membrane, Four-Brane and Dual Coordinates in the M(atrix) Theory Compactified on Tori
• (m,n)-Strings In IIB Matrix Model
• Spontaneous symmetry breaking induced by complex fermion determinant --- yet another success of the complex Langevin method
• Birth of String Theory
• The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry II: Noncommutative Quantum Black Holes
• Numerical Studies of the Double Scaling Limit in Large N Reduced Model
• A general procedure to find ground state solutions for finite $N$ M(atrix) theory. Reduced models and SUSY quantum cosmology
• Bosonic Matrix Theory and Matrix Dbranes
• Phenomenological studies in the matrix models