Discrete torsion orbifolds and D-branes

TL;DR

This paper analyzes D-branes on orbifolds with and without discrete torsion using boundary state formalism, revealing consistent D-brane spectra and representations that respect T-duality, with a focus on the Z2 x Z2 orbifold.

Contribution

It provides a unified analysis of D-branes on orbifolds with and without discrete torsion, highlighting their representations and T-duality consistency.

Findings

D-branes carry conventional and projective representations

D-brane spectrum is consistent with T-duality

Both orbifold cases exhibit similar D-brane structures

Abstract

D-branes on orbifolds with and without discrete torsion are analysed in a unified way using the boundary state formalism. For the example of the Z2 x Z2 orbifold it is found that both the theory with and without discrete torsion possess D-branes whose world-volume carries conventional and projective representations of the orbifold group. The resulting D-brane spectrum is shown to be consistent with T-duality.