The abelian cosets of the Heisenberg group

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Published 15 November 2007 • Published under licence by IOP Publishing Ltd
, , Citation Giuseppe D'Appollonio and Thomas Quella JHEP11(2007)045 DOI 10.1088/1126-6708/2007/11/045

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Author affiliations

1 Department of Mathematics, King's College London, The Strand, London WC2R 2LS, United Kingdom

2 Dipartimento di Fisica dell'Università di Cagliari, INFN Sezione di Cagliari, Cittadella Universitaria 09042 Monserrato, Italy

3 Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands

Dates

  1. Received 27 September 2007
  2. Accepted 29 October 2007
  3. Published

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Abstract

In this paper we study the abelian cosets of the H4 WZW model. They coincide or are related to several interesting three-dimensional backgrounds such as the Melvin model, the conical point-particle space-times and the null orbifold. We perform a detailed CFT analysis of all the models and compute the coset characters as well as some typical three-point couplings of coset primaries.

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10.1088/1126-6708/2007/11/045