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Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model

Gaston Giribet·Daniel Lopez-Fogliani
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Abstract

Free field representations of vertex algebra in SL(2,R)/U(1) x U(1) WZNW model are constructed by considering a twisted version of the Bershadsky-Kutasov free field description of discrete states in the two-dimensional black hole CFT. These correspond to conjugate representations describing primary states in the model on SL(2,R)/U(1) x U(1). A particular evaluation of these leads to identities due to the spectral flow symmetry of sl(2)_k algebra. The computation of correlation functions is discussed and, as an application, these are compared with analogous results known for the sine-Liouville theory. Exact agreement is observed between both analytic structures.

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Gaston Giribet, Daniel Lopez-Fogliani. 2004-06-15. Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model. https://doi.org/10.1088/1126-6708%2F2004%2F06%2F026

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