The M(atrix) model of M-theory

Abstract

These lecture notes give a pedagogical and (mostly) self-contained review of some basic aspects of the Matrix model of M-theory. The derivations of the model as a regularized supermembrane theory and as the discrete light-cone quantization of M-theory are presented. The construction of M-theory objects from matrices is described, and gravitational interactions between these objects are derived using Yang-Mills perturbation theory. Generalizations of the model to compact and curved space-times are discussed, and the current status of the theory is reviewed.

80 pages, 4 figures, LaTeX; Lectures for NATO school "Quantum Geometry", Iceland 1999; v2: references added

References in corpus (12)

• M Theory As A Matrix Model: A Conjecture
• Why is the Matrix Model Correct?
• Noncommutative Geometry from D0-branes in a Background B-field
• Matrix Theory
• Constraints From Extended Supersymmetry in Quantum Mechanics
• Linearized supergravity from Matrix theory
• Supergravity currents and linearized interactions for Matrix Theory configurations with fermionic backgrounds
• Asymptotic Search for Ground States of SU(2) Matrix Theory
• Adhering 0-branes to 6-branes and 8-branes
• On the quantum mechanics of M(atrix) theory
• Holomorphic curves from matrices
• Effective Action for Membrane Dynamics in DLCQ $M$ theory on a Two-torus

Cited by in corpus (20)

• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Introduction to M(atrix) theory and noncommutative geometry
• Brane Dynamics in Background Fluxes and Non-commutative Geometry
• Quantum Mechanics on the Noncommutative Torus
• Matrix Strings in Weakly Curved Background Fields
• Chern-Simons Terms on Noncommutative Branes
• Dynamics of D1-brane in I-brane Background
• Supermatrix models for M-theory based on osp(1|32,R)
• A perturbative expansion scheme for supermembrane and matrix theory
• Matrix model and noncommutative Chern-Simons theory
• Extensions of AdS_5 x S^5 and the Plane-wave Superalgebras and Their Realization in the Tiny Graviton Matrix Theory
• Non-Linear Realization of ${\aleph }_0$-Extended Supersymmetry
• Supersymmetry of Green-Schwarz Superstring and Matrix String Theory
• N D0-branes and antibranes in the background independent string field theory
• Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
• Noncritical M-theory: Three Dimensions
• Lectures on Strings, D-branes and Gauge Theories
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
• New M(atrix)-models for Commutative and Noncommutative Gauge Theories
• Quantum reference frames and triality