The diagonal cosets of the Heisenberg group

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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42 pages, v2: more explicit expressions for the background fields in section 3.2.2, reference [49] added, some typos corrected

Scientific paper

10.1088/1126-6708/2008/05/060

In this paper we study the diagonal cosets of the non-compact H4 WZW model. Generalising earlier work by Antoniadis and Obers, we provide an exact world-sheet description for several families of non-maximally symmetric gravitational plane waves with background NS fluxes. We show that the sigma-models that correspond to an asymmetric action of the gauge group smoothly interpolate between singular and non-singular plane waves. We also analyse the representations of the coset chiral algebra and derive the spectrum of all the models.

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