Discrete Torsion, AdS/CFT and duality

TL;DR

This paper investigates D-branes on orbifolds with discrete torsion, exploring their dualities and mirror pairs within the AdS/CFT framework, and providing a geometric understanding of discrete torsion effects.

Contribution

It extends previous analyses to more general Abelian orbifolds with discrete torsion, revealing new dualities and mirror pairs in the context of AdS/CFT correspondence.

Findings

Identification of new mirror pairs

Discovery of novel dualities at large N

Enhanced geometric understanding of discrete torsion

Abstract

We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain Abelian orbifolds of the type C^3/ \Gamma, where \Gamma is given by Z_m x Z_n, for the most general choice of discrete torsion parameter. By comparing with the AdS/CFT correspondence, we can consider different geometries which give rise to the same physics. This identifies new mirror pairs and suggests new dualities at large N. As a by-product we also get a more geometric picture of discrete torsion.