A Large-N Reduced Model as Superstring
arXiv:hep-th/9612115 · doi:10.1016/S0550-3213(97)00290-3
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
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Cited by in corpus (767)
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- Probability of the Standard Model Appearance from a Matrix Model
- Topology Change From Quantum Instability of Gauge Theory on Fuzzy CP^2
- Fuzzy Space-Times
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- Spontaneous Supersymmetry Breaking by Large-N Matrices
- D-branes and KK-theory in Type I String Theory
- The QCD Membrane
- Admissibility Condition and Nontrivial Indices on a Noncommutative Torus
- Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons
- Highly Effective Action from Large N Gauge Fields
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- Heat kernel expansion and induced action for the matrix model Dirac operator
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- Universality and the dynamical space-time dimensionality in the Lorentzian type IIB matrix model
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- Exercising in K-theory: Brane Condensation without Tachyon
- The Matrix model and the non-commutative geometry of the supermembrane
- Noncommutative Static Strings from Matrix Models
- Simulating Simplified Versions of the IKKT Matrix Model
- Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
- The Fuzzy Kaehler Coset Space with the Darboux Coordinates
- Direct derivation of the Veneziano-Yankielowicz superpotential from matrix model
- Large-N Gauge Theories
- Dual Non-Lorentzian Backgrounds for Matrix Theories
- The curvature of branes, currents and gravity in matrix models
- Exotic trees
- Emergent gravity from the IIB matrix model and cancellation of a cosmological constant
- A note on higher spin symmetry in the IIB matrix model with the operator interpretation
- Three Introductory Lectures in Helsinki on Matrix Models of Superstrings
- Impact of Supersymmetry on Emergent Geometry in Yang-Mills Matrix Models II
- Open String Fields as Matrices
- Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
- Comparing Quantum Gravity Models: String Theory, Loop Quantum Gravity, and Entanglement gravity versus -QGR
- String modes, propagators and loops on fuzzy spaces
- Green-Schwarz superstring from type IIB matrix model
- Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
- Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
- 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
- Critical Behaviour of the Fuzzy Sphere
- Fermions and noncommutative emergent gravity II: Curved branes in extra dimensions
- Ghost D-brane, Supersymmetry and Matrix Model
- Do Quarks Obey D-Brane Dynamics?
- On Tachyon Condensation of Intersecting Noncommutative Branes in M(atrix) Theory
- Progress toward the Determination of Complete Vertex Operators for The IIB Matrix Model
- Non-commutativity, Zero modes and D-brane Geometry
- Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
- Vector profile and gauge invariant observables of string field theory solutions for constant magnetic field background
- Effective Actions of IIB Matrix Model on S^3
- Contact terms, symmetries and D-instantons
- Closed string symmetries in open string field theory: tachyon vacuum as sine-square deformation
- Berry's Connection and USp(2k) Matrix Model
- Hidden Symmetry Unmasked: Matrix Theory and E(11)
- Phase space quantization, noncommutativity and the gravitational field
- Quantum Hall Effect on the Grassmannians
- Introduction to Monte Carlo for Matrix Models
- Numerical Analysis of the Double Scaling Limit in the IIB Matrix Model
- Spherically symmetric solutions of higher-spin gravity in the IKKT matrix model
- The Fuzzy S^4 by Quantum Deformation
- Localization on the D-brane, two-dimensional gauge theory and matrix models
- On the Equivalence of Noncommutative Models in Various Dimensions and Brane Condensation
- Emergent Spacetime for Quantum Gravity
- Open String on Symmetric Product
- Advances and applications of lattice supersymmetry
- p-Branes from Generalized Yang-Mills Theory
- A note on graviton exchange in emergent gravity scenario
- Extension of IIB Matrix Model by Three-Algebra
- Phase structure of the large-N reduced gauge theory and generalized Weingarten model
- Discrete and Continuous Bogomolny Equations through the Deformed Algebra
- Monte Carlo approach to nonperturbative strings -- demonstration in noncritical string theory
- Large-scale computation of the exponentially expanding universe in a simplified Lorentzian type IIB matrix model
- Gauge Invariance and Noncommutativity
- On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
- Lectures in Quantum Gravity
- Type IIB Random Superstrings
- Polyakov Lines in Yang-Mills Matrix Models
- A note on quantization of matrix models
- Blocking up D-branes : Matrix renormalization ?
- Dynamical Generation of Non-Abelian Gauge Group via the Improved Perturbation Theory
- Quantum Gravity as a Multitrace Matrix Model
- Matrix model with manifest general coordinate invariance
- Yang-Mills Integrals
- Fermionic Backgrounds and Condensation of Supergravity Fields in IIB Matrix Model
- The Concept of a Noncommutative Riemann Surface
- A Proposal for a Non-Perturbative Regularization of {\cal N}=2 SUSY 4D Gauge Theory
- Quantized Kähler Geometry and Quantum Gravity
- Reduced Models and Noncommutative Gauge Theories
- Superstring vertex operators in type IIB matrix model
- Applications of the overlap formalism to super Yang-Mills theories
- Point-Like Graviton Scattering in Plane-Wave Matrix Model
- The First Thirty Years of Large-N Gauge Theory
- Probe brane dynamics on cosmological brane backgrounds
- On the Reduced SU(N) Gauge Theory in the Weyl-Wigner-Moyal Formalism
- Emergent 4D Gravity from Matrix Models
- Superfield formulation of 4D, N=1 massless higher spin gauge field theory and supermatrix model
- Dynamical phase space from a SO(d,d) matrix model
- Construction of a topological charge on fuzzy S^2 x S^2 via Ginsparg-Wilson relation
- Geometry in transition in four dimensions: A model of emergent geometry in the early universe and dark energy
- Cohomological Field Theory Approach to Matrix Strings
- A first look at the bosonic master-field equation of the IIB matrix model
- Wrapped membranes, matrix string theory and an infinite dimensional Lie algebra
- Matrix Theory for the DLCQ of Type IIB String Theory on the AdS/Plane-wave
- Remarks on Covariant Matrix Strings
- Effective Action and Measure in Matrix Model of IIB Superstrings
- Laplacians on Fuzzy Riemann Surfaces
- Dimensional oxidization on coset space
- Matrix and tensor witnesses of hidden symmetry algebras
- Fuzzy de Sitter Space from kappa-Minkowski Space in Matrix Basis
- IIB matrix model: Extracting the spacetime metric
- The Geometry of Jordan Matrix Models
- Lattice Superstring and Noncommutative Geometry
- Axial Anomaly in the Gauge Matrix Model
- Axial anomaly in the reduced model: Higher representations
- Correlation functions and renormalization in a scalar field theory on the fuzzy sphere
- Matrix Model for Dirichlet Open String
- A generalized volume law for entanglement entropy on the fuzzy sphere
- Analytic trajectory bootstrap for matrix models
- Deformation of Schild String
- The instability of intersecting fuzzy spheres
- New Fuzzy Extra Dimensions from Gauge Theories
- Algebraic Structure in 0<c<1 Open-Closed String Field Theories
- An Index for Intersecting Branes in Matrix Models
- 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
- Ginsparg-Wilson relation on a fuzzy 2-sphere for adjoint matter
- IIB Matrix Model with D1-D5 Backgrounds
- The multitrace matrix model: An alternative to Connes NCG and IKKT model
- Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
- Master Field on Fuzzy Sphere
- Probability distribution over some phenomenological models in the matrix model compactified on a torus
- Commutative Geometry for Non-commutative D-branes by Tachyon Condensation
- Black Hole and Fuzzy Objects in BFSS Matrix Model
- Twisted K-theory in from D-branes
- Zerobrane Matrix Mechanics, Monopoles and Membrane Approach in QCD
- Four-algebraic extension of the IIB matrix model
- Interaction of F- and D-strings in the Matrix Model
- Regularization of matrices in the covariant derivative interpretation of matrix models
- A Scaling Relation, -type Deconfinement Phases and Imaginary Chemical Potentials in Finite Temperature Large- Gauge Theories
- Continuum limit(s) of BMN matrix model: Where is the (nonabelian) gauge group?
- Categorical Perspective on Quantization of Poisson Algebra
- The -eigenvalue problem on some new fuzzy spheres
- Matrix Models, Emergent Gravity, and Gauge Theory
- Q-field from a 4D-brane: Cosmological constant cancellation and Minkowski attractor
- Contravariant geometry and emergent gravity from noncommutative gauge theories
- Category of Quantizations and Inverse Problem
- D-brane Analyses for BPS Mass Spectra and U-duality
- Pure spinor computation towards open string three-loop
- Stability of the Matrix Model in Operator Interpretation
- Scaling Behaviors of Branched Polymers
- Numerical Analysis of the Double Scaling Limit in the bosonic part of the IIB Matrix Model
- Large N Optimization for multi-matrix systems
- Large-N behaviors of the IIB matrix model and the regularized Schild models
- Disk Amplitudes in Topological A-Model on Calabi-Yau Spaces and Fano Manifolds
- Comparative studies of the deformation techniques for the singular-drift problem in the complex Langevin method
- Matrix Model and Ginsparg-Wilson Relation
- Matrix Orientifolding and Models with Four or Eight Supercharges
- Generalized Gauge Theories and Weinberg-Salam Model with Dirac-Kähler Fermions
- Two approaches to quantum gravity and M-(atrix) theory at large number of dimensions
- On the foundations of quantum theory
- Bulk Witten Indices from D=10 Yang Mills Integrals
- Maxwell Theory from Matrix Model
- Local Commutativity and Causality in Interacting PP-wave String Field Theory
- Emergent Spacetime and Cosmic Inflation
- On the large N limit, W_\infty Strings, Star products, AdS/CFT Duality, Nonlinear Sigma Models on AdS spaces and Chern-Simons p-branes
- Equivariant Fields in an Gauge Theory with new Spontaneously Generated Fuzzy Extra Dimensions
- Matrix Configurations for Spherical 4-branes and Non-commutative Structures on S^4
- 2D Yang-Mills Theory as a Matrix String Theory
- Notes on noncommutative supersymmetric gauge theory on the fuzzy supersphere
- Noncommutativities of D-branes and -changing Degrees of Freedom in D-brane Matrix Models
- Spatially flat FLRW spacetimes with a Big Bang from matrix geometry
- Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
- Matrix model and Yukawa couplings on the noncommutative torus
- Compactified rotating branes in the matrix model, and excitation spectrum towards one loop
- BTZ Black Hole Entropy from a Chern-Simons Matrix Model
- Chiral low-energy physics from squashed branes in deformed SYM
- Putting M theory on a computer
- Possible explanations for fine-tuning of the universe
- Variational ansatz for gaussian + Yang-Mills two matrix model compared with Monte-Carlo simulations in 't Hooft limit
- D-dependence of gap between critical temperatures in one-dimensional gauge theories
- Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
- Low dimensional matrix representations for noncommutative surfaces of arbitrary genus
- Diffeomorphisms on Fuzzy Sphere
- Non-commutative Field Theory on S^4
- Representation of SU(infinity) Algebra for Matrix Models
- Quantisation of type IIB superstring theory and the matrix model
- Nonperturbative Formulations of Superstring Theory
- Special solutions of a discrete Painlevé equation for quantum minimal surfaces
- Spatially flat cosmological quantum spacetimes
- Noncommutative Gauge Theories and Gravity
- Emergent geometry of membranes
- A Note on (D(p-2),Dp) Bound State and Noncommutative Yang-Mills Theory
- Introducing Dynamical Triangulations to the Type IIB Superstrings
- Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry
- Little IIB Matrix Model
- Non-commutative Euclidean structures in compact spaces
- Non-commutative Weitzenboeck geometry, gerbe modules, and WZW branes
- Type IIB Matrix Theory at Two Loops
- String coupling and interactions in type IIB matrix model
- Topological Symmetry, Background Independence, and Matrix Models
- Planar Homological Mirror Symmetry
- Background Independent Matrix Models
- Oscillating D-Strings from IIB Matrix Theory
- Random lattice strings vs. type IIB matrix models
- Special Geometries Emerging from Yang-Mills Type Matrix Models
- (3+1)-dimensional expanding universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
- Quantum Mechanics and the Continuum Limit of an Emergent Geometry
- Quantum mechanics without spacetime II : noncommutative geometry and the free point particle
- Black Holes: A Window into A New Theory of Space Time
- Non-commutativity in Unified Theories and Gravity
- A Lattice Formulation of Two Dimensional Topological Field Theory
- Matrix at strong coupling
- D-instantons and Matrix Models
- Emergence of longitudinal 7-branes and fuzzy S^4 in compactification scenarios of M(atrix) theory
- Matrix Models, Large N Limits and Noncommutative Solitons
- Non-BPS D9-branes in the Early Universe
- SL(2,R) matrix model and supersymmetric Yang-Mills integrals
- On the Quantum Geometry of String Theory
- Oxidation, Reduction and Semi-Classical Limit for Quantum Matrix Geometries
- String with noncommutative world-sheet and stringy instantons
- 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
- M-Branes and Their Interactions in Static Matrix Model
- Monte Carlo Simulations of BFSS and IKKT Matrix Models
- A New Proposal for Matrix Theory
- Massless graviton in a model of quantum gravity with emergent spacetime
- Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics
- Recent developments in the type IIB matrix model
- Fermions Coupled to Emergent Noncommutative Gravity
- Horizon Branes and Chiral Strings
- Note on a Closed String Field Theory from Bosonic IIB Matrix Model
- Witten's Cubic Open String Field Theory on multiple -branes
- Partition Functions of Reduced Matrix Models with Classical Gauge Groups
- Classical Solutions of a Torsion Gravity from a Large N Matrix Model
- Reduced Chern-Simons Quiver Theories and Cohomological 3-Algebra Models
- Axial anomaly in the reduced model: Higher representations
- Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
- Time-Delay at Higher Genus in High-Energy Open String Scattering
- Modeling M-Theory Vacua via Gauged S-Duality
- Gauge theories on noncommutative and BPS-like equations
- Exploring the gravity sector of emergent higher-spin gravity: effective action and a solution
- IIB matrix model: Emergent spacetime from the master field
- Electric-Magnetic Duality in IIB Matrix Model with D-brane
- Remarks on the eigenvalues distributions of D\leq 4 Yang-Mills matrix models
- Geometric torsion, 4-form, Riemann duals and Quintessence
- New M(atrix)-models for Commutative and Noncommutative Gauge Theories
- Birth of String Theory
- Time and a Temporally Statistical Quantum Geometrodynamics
- Chaos in M(atrix) Theory
- D-particle Field Category
- A general procedure to find ground state solutions for finite M(atrix) theory. Reduced models and SUSY quantum cosmology
- Membrane, Four-Brane and Dual Coordinates in the M(atrix) Theory Compactified on Tori
- Matrix at slow roll: Nonrelativistic and Perturbative
- Phenomenological studies in the matrix models
- Anomalous Interactions of Five Dimensional USp(2k) Gauge Theory
- Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic IIB Matrix Model
- Symmetrization of the Berezin Star Product and Multiple Star Product Method
- Heat kernel expansion and induced action for matrix models
- Gravity Amplitudes from a Gaussian Matrix Model
- Supersymmetric extension of Moyal algebra and its application to the matrix model
- Large-N Limit as a Classical Limit: Baryon in Two-Dimensional QCD and Multi-Matrix Models
- Holomorphically Covariant Matrix Models
- (m,n)-Strings In 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
- Spontaneous symmetry breaking induced by complex fermion determinant --- yet another success of the complex Langevin method
- Proposal of a topological M(atrix) theory
- Quantum Minimal Surfaces
- Gauge Symmetry Breaking in Matrix Models
- Creation of D9-brane--anti-D9-brane Pairs from Hagedorn Transition of Closed Strings
- Large N Matrix Field Theories
- Relations between Non-Commutative and Commutative Spacetime
- Finite Temperature Closed Superstring Theory
- Comments on Large N Matrix Model
- Tiny Graviton Matrix Theory On Time-Dependent Background
- Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking
- Randomized Wilson loops, reduced models and the large D expansion
- Emergent Geometries from the BMN Matrix Model
- Eigenvalue Dynamics and the Matrix Chain
- Commuting signs of infinity
- Regularized big bang singularity: Geodesic congruences
- Representations of Quantum Minimal Surface Algebrasvia Kac-Moody-theory
- Twisting BFSS & IKKT
- Fuzzy Black Holes from Mass Generation in Matrix Compactification
- Exact solutions to complex Type IIB supergravity for complex superalgebra and its real forms
- A Lorentz Covariant Matrix Model for Bosonic M2-Branes: Nambu Brackets and Restricted Volume-Preserving Deformations
- Oblique DLCQ M-theory and Multiple M2-branes
- Collective field theory of gauged multi-matrix models: Integrating out off-diagonal strings
- A theory of time based on wavefunction collapse
- Strings as particle arrays
- Numerical Studies of the Double Scaling Limit in Large N Reduced Model
- Vertex operators of Type IIB matrix model via calculation of disk amplitudes
- Quantum Algebra of Chern-Simons Matrix Model and Large Limit
- The dynamics of zero modes in lattice gauge theory -- difference between SU(2) and SU(3) in 4D
- Dynamical Properties of Large N Reduced Model of Yang-Mills Theory
- Replicas, averaging and factorization in the IIB matrix model
- The AdS^2_θ/CFT_1 Correspondence and Noncommutative Geometry II: Noncommutative Quantum Black Holes
- The Factorization Method for Monte Carlo Simulations of Systems With a Complex Action
- On the emergence of an expanding universe from a Lorentzian matrix model
- Matrix equations and trilinear commutation relations
- Super Yang-Mills Theory from a Supermatrix Model
- Matrix Models, Emergent Spacetime and Symmetry Breaking
- Bosonic Matrix Theory and Matrix Dbranes