Matrix Theory

Abstract

This is an expanded version of talks given by the author at the Trieste Spring School on Supergravity and Superstrings in April of 1997 and at the accompanying workshop. The manuscript is intended to be a mini-review of Matrix Theory. The motivations and some of the evidence for the theory are presented, as well as a clear statement of the current puzzles about compactification to low dimensions.

72 pages, harvmac big, references added, typos corrected

References in corpus (3)

• Strings from Matrices
• Rotational Invariance in the M(atrix) Formulation of Type IIB Theory
• Issues in M(atrix) Theory Compactification

Cited by in corpus (86)

• The holographic principle
• Brane Dynamics and Gauge Theory
• U-duality and M-Theory
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Introduction to M(atrix) theory and noncommutative geometry
• Lectures on D-branes
• Multiple Dp-branes in Weak Background Fields
• BPS Nature of 3-String Junctions
• M-Theory as a Holographic Field Theory
• Linearized supergravity from Matrix theory
• The Bekenstein Formula and String Theory (N-brane Theory)
• Four graviton scattering amplitude from $S^N{\mathbf{R}}^8$ supersymmetric orbifold sigma model
• M-Theory and U-duality on T^d with Gauge Backgrounds
• Matrix D-brane Dynamics, Logarithmic Operators and Quantization of Noncommutative Spacetime
• Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
• Open Heterotic Strings
• Note on the Quantum Mechanics of M Theory
• Approximations for strongly-coupled supersymmetric quantum mechanics
• Towards a Noncommutative Geometric Approach to Matrix Compactification
• New M-theory Backgrounds with Frozen Moduli
• ((F, D1), D3) bound state, S-duality and noncommutative open string/Yang-Mills theory
• The M(atrix) model of M-theory
• Holomorphic curves from matrices
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Spin-Spin Interaction In Matrix Theory
• The Matrix Theory S-Matrix
• Marginal Deformations In the Open Bosonic String Field Theory for N D0-branes
• Background geometry of DLCQ M theory on a p-torus and holography
• Aspects of ALE Matrix Models and Twisted Matrix Strings
• Matrix Theory on ALE Spaces and Wrapped Membranes
• Tree-Level Stability Without Spacetime Fermions: Novel Examples in String Theory
• Non-Singular Cosmological Models in String Gravity with Second Order Curvature Corrections
• Matrix Theory in a Constant C Field Background
• Conservation of Supergravity Currents from Matrix Theory
• A Matrix Model for Heterotic $Spin(32)/Z_2$ and Type I String Theory
• Matrix string theory, contact terms, and superstring field theory
• Matrix Model, Noncommutative Gauge Theory and the Tachyon Potential
• Anomalies and large N limits in matrix string theory
• Comments on the Problem of a Covariant Formulation of Matrix Theory
• Do Quarks Obey D-Brane Dynamics? II
• Quantum Gravity at the Planck Length
• Large N and the Dine-Rajaraman problem
• Matrix Representations of Holomorphic Curves on $T_4$
• Instantons and scattering in N=4 SYM in 4D
• Interaction of D-string with F-string: A Path-Integral Formalism
• Matrix model and noncommutative Chern-Simons theory
• The QCD Membrane
• Abelian Fibrations, String Junctions, and Flux/Geometry Duality
• A Lattice Universe from M-theory
• Renormalization of Higher Derivative Operators in the Matrix Model
• D0-branes in an H-field Background and Noncommutative Geometry
• Statistical Origin of Black Hole Entropy in Matrix Theory
• On Relevance Of Matrix Coordinates For The Inside Of Baryons
• Three-graviton scattering in Matrix theory revisited
• Is Physics in the Infinite Momentum Frame Independent of the Compactification Radius?
• Comment on Multigraviton Scattering in the Matrix Model
• Open String on Symmetric Product
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• On The Interaction Of D0-Brane Bound States And RR Photons
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory II
• A Note on Six-Dimensional Gauge Theories
• Matrix Theory Description of Schwarzschild Black Holes in the Regime N >> S
• Spin dependent D-brane interactions and scattering amplitudes in matrix theory
• Closed String Radiation from the Interacting Fractional-Dressed D$p$-Branes with the Transverse Motions
• Feynman Graphs from D-Particle Dynamics
• Matrix Models of 2D String Theory in Non--trivial Backgrounds
• A configuration of 11-dimensional curved superspace as backgrounds for supermembrane
• Noncommutativities of D-branes and $\theta$-changing Degrees of Freedom in D-brane Matrix Models
• Black holes and the phases of brane thermodynamics
• Pointlike structure for super p-branes
• Asymptotic Supergraviton States in Matrix Theory
• Super Yang-Mills theory in 10+2 dimensions, The 2T-physics Source for N=4 SYM and M(atrix) Theory
• Graviton scattering in an M-orientifold background
• Type IIB Matrix Theory at Two Loops
• Lectures on Strings, D-branes and Gauge Theories
• Partition Functions, Duality, and the Tube Metric
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• Some comments about Schwarzschield black holes in Matrix theory
• Interaction of Branes at Angles in M(atrix) Model
• Introduction to M Theory
• Zero-mode Spectrum of Eleven-dimensional Theory on the Plane-wave Background
• The (Super)String Theories' Problems
• Fractional Dp-Branes with Transverse and Tangential Dynamics in the Presence of Background Fluxes
• Matrix Theory and the Six Torus
• An alternative way to explain how non-commutativity arises in the bosonic string theory