Are M-atrix theory and Maldacena's conjecture related?

TL;DR

This paper explores the potential connection between M-atrix theory and Maldacena's conjecture, suggesting they may be different facets of the same underlying duality involving supergravity and supersymmetric Yang-Mills theories.

Contribution

It provides arguments supporting a relation between M-atrix theory and Maldacena's conjecture, linking their equivalences through classical supergravity and SYM dualities in the (0+1)-D case.

Findings

M-atrix theory conjecture implies equivalence of 11-D supergravity and strongly-coupled (0+1)-D SYM.

Maldacena's duality relates strongly-coupled (0+1)-D SYM to 11-D supergravity on a circle.

Classical equivalence between supergravity on light-like and spatial circles suggests a unified duality framework.

Abstract

We give arguments in the support of a relation between M-atrix theory and Maldacena's conjecture. M-atrix theory conjecture implies the equivalence of 11-D light-cone supergravity and strongly-coupled (0+1)-D SYM. Maldacena's SUGRA/SYM duality conjecture implies, in the one dimensional SYM case, the equivalence between strongly-coupled (0+1)-D SYM and 11-D supergravity compactified on a spatial circle in the formal Seiberg-Sen limit. Using the classical equivalence between 11-D supergravity on a light-like circle and on a spatial circle in the formal Seiberg-Sen limit, we argue that in the (0+1)-D SYM case, the large-N M-atrix theory in the supergravity regime is equivalent to SUGRA/SYM duality.