On the Supergravity Gauge theory Correspondence and the Matrix Model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, Latex

Scientific paper

10.1103/PhysRevD.59.044029

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 $AdS_5\times S_5$ ${\cal N}=4$ super Yang-Mills duality, and the different role of the branes in the two cases is pointed out.

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