Discrete Torsion, AdS/CFT and duality

TL;DR

The paper investigates discrete torsion in Abelian orbifolds by analyzing D3-branes at Gamma = Z_m x Z_n through the AdS/CFT correspondence. It establishes a concrete geometric picture in which monodromy of blow-up modes around fixed circles encodes torsion data and shows a precise match between twisted-sector spectra in field theory and in supergravity. It also uncovers new N=1 dualities at large N by relating marginal deformations of brane-box quivers to deformations of dual AdS5 x S5/Γ backgrounds, including a mirror-like pair of gravity duals. The work connects the orbifold torsion parameter to boundary conditions and homology torsion, and outlines extensions to other geometries and deformations.

Abstract

We analyse D-branes on orbifolds with discrete torsion, extending earlier results. We analyze certain Abelian orbifolds of the type C^3/ Γ, where Γis 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.