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

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

Item Type: Article
Additional Information: The original publication is available at http://iopscience.iop.org/1126-6708/2001/04/037/ archiveprefix: arXiv primaryclass: hep-th
Uncontrolled Keywords: discrete and finite symmetries, Brane dynamics in gauge theories, D-branes
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/825

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