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Discrete torsion, covering groups and quiver diagrams

Feng, B., Hanany, A., He, Y. & Prezas, N. (2001). Discrete torsion, covering groups and quiver diagrams. Journal of High Energy Physics, 2001(037), doi: 10.1088/1126-6708/2001/04/037


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 (arXiv:hep-th/0010023) and aims to initiate a systematic and computationally convenient study of discrete torsion.

Publication Type: Article
Additional Information: The original publication is available at archiveprefix: arXiv primaryclass: hep-th
Publisher Keywords: discrete and finite symmetries, Brane dynamics in gauge theories, D-branes
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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