On the Supergravity Gauge theory Correspondence and the Matrix Model

Abstract

We review the assumptions and the logic underlying the derivation of DLCQ Matrix models. In particular we try to clarify what remains valid at finite $N$, the role of the non-renormalization theorems and higher order terms in the supergravity expansion. The relation to Maldacena's conjecture is also discussed. In particular the compactification of the Matrix model on $T_3$ is compared to the $Ad{S}_5\times S_5$ $\mathcal{N}=4$ super Yang-Mills duality, and the different role of the branes in the two cases is pointed out.

19 pages, Latex

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Cited by in corpus (8)

• Large N Field Theories, String Theory and Gravity
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Time and M-theory
• Absorption of dilaton partial waves by D3-branes
• Matrix Theory Reloaded: A BPS Road to Holography
• Adiabatic transport of qubits around a black hole
• Feynman Graphs from D-Particle Dynamics
• The Principle of Equivalence as a Guide towards Matrix Theory Compactifications