Discrete Torsion, Covering Groups and Quiver Diagrams

, , and

Published 14 May 2001 Published under licence by IOP Publishing Ltd
, , Citation Bo Feng et al JHEP04(2001)037 DOI 10.1088/1126-6708/2001/04/037

1126-6708/2001/04/037

Abstract

Without recourse to the sophisticated machinery of twisted group algebras, projective character tables and explicit values of 2-cocycles, we here present a simple algorithm to study the gauge theory data of D-brane probes on a generic orbifold G with discrete torsion turned on. We show in particular that the gauge theory can be obtained with the knowledge of no more than the ordinary character tables of G and its covering group G*. Subsequently we present the quiver diagrams of certain illustrative examples of SU(3)-orbifolds which have non-trivial Schur Multipliers. The paper serves as a companion to our earlier work hepth0010023 and aims to initiate a systematic and computationally convenient study of discrete torsion.

Export citation and abstract BibTeX RIS

10.1088/1126-6708/2001/04/037