Gauge Theory, Geometry and the Large N Limit

Abstract

We study the relationship between M theory on a nearly lightlike circle and U(N) gauge theory in p+1 dimensions. We define large N limits of these theories in which low energy supergravity is valid. The regularity of these limits implies an infinite series of nonrenormalization theorems for the gauge theory effective action, and the leading large N terms sum to a Born-Infeld form. Compatibility of two different large N limits that describe the same decompactified M theory leads to a conjecture for a relation between two limits of string theories.

LaTeX, 17 pages, 1 figure, references added, shorter version to appear in Nucl. Phys. B

References in corpus (11)

• M Theory As A Matrix Model: A Conjecture
• Bound States Of Strings And $p$-Branes
• Matrix String Theory
• Why is the Matrix Model Correct?
• D-branes and Short Distances in String Theory
• Comments on Higher Derivative Operators in Some SUSY Field Theories
• A Two-Loop Test of M(atrix) Theory
• Membrane Scattering with M-Momentum Transfer
• Issues in M(atrix) Theory Compactification
• Instantons, Scale Invariance and Lorentz Invariance in Matrix Theory
• Probing Type I' String Theory Using D0 and D4-Branes

Cited by in corpus (25)

• Large N Field Theories, String Theory and Gravity
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
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• Two-loop N=4 Super Yang Mills effective action and interaction between D3-branes
• Near Horizon Limits of Massless BTZ and Their CFT Duals
• Time and M-theory
• Quantum complexity in gravity, quantum field theory, and quantum information science
• High Energy Scattering and D-Pair Creation in Matrix String Theory
• Zero-Branes, Quantum Mechanics and the Cosmological Constant
• Entanglement versus entwinement in symmetric product orbifolds
• Extremal black holes, Holography & Coarse graining
• Entanglement shadows in LLM geometries
• Matrix Theory Reloaded: A BPS Road to Holography
• Mini-BFSS in Silico
• Superconformal N=3 SYM Low-Energy Effective Action
• Conservation of Supergravity Currents from Matrix Theory
• Noncommutative geometry, Quantum effects and DBI-scaling in the collapse of D0-D2 bound states
• On the Supergravity Gauge theory Correspondence and the Matrix Model
• Ten Dimensional Black Hole and the D0-brane Threshold Bound State
• Is Physics in the Infinite Momentum Frame Independent of the Compactification Radius?
• What we don't know about time
• Probing a D6 + D0 state with D6-branes: SYM - Supergravity correspondence at subleading level
• Are M-atrix theory and Maldacena's conjecture related?
• The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background
• Some comments about Schwarzschield black holes in Matrix theory