Dualities of the Matrix Model from T-Duality of the Type II String

TL;DR

This paper explores how T-duality in Type II string theory manifests as dualities in the Matrix theory framework, specifically in supersymmetric Yang-Mills theories on noncommutative three-tori, revealing deep connections between string dualities and gauge theories.

Contribution

It demonstrates the realization of T-duality subgroup of M-theory in the Matrix model via supersymmetric Yang-Mills theories on noncommutative three-tori, linking string dualities to gauge theory dynamics.

Findings

Dualities are realized in supersymmetric Yang-Mills theories on noncommutative three-tori.

The study clarifies the connection between T-duality and Matrix theory.

Insights into the structure of M-theory compactifications.

Abstract

We investigate in the Matrix theory framework, the subgroup of dualities of the DLCQ of M-theory compactified on three-tori, which corresponds to T-duality in the auxiliary Type II string theory. We show how these dualities are realized in the supersymmetric Yang-Mills gauge theories on dual noncommutative three-tori.