The abelian cosets of the Heisenberg group

Abstract

In this paper we study the abelian cosets of the H(4) 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.

arXiv comment26 pages; v2: minor typos corrected, also added section 3.3 and 4.3 with a few comments on a third class of geometries that have not been discussed in v1

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Cited by in corpus (5)

• The diagonal cosets of the Heisenberg group
• Representations of the Nappi--Witten vertex operator algebra
• Non-relativistic quantum strings from gauged WZW models
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Representations of affine Nappi-Witten algebras