Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model

Details Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model Zamolodchikov operator-valued relations for SL(2,R)_k WZNW model

2004-05-10

arxiv.org/abs/hep-th/0405094v1

Nucl.Phys. B701 (2004) 481-496

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1016/j.nuclphysb.2004.07.007

An infinite set of operator-valued relations that hold for reducible representations of the sl(2)_k algebra is derived. These relations are analogous to those recently obtained by Zamolodchikov which involve logarithmic fields associated to the Virasoro degenerate representations in Liouville theory. The fusion rules of the sl(2)_k algebra turn out to be a crucial step in the analysis. The possible relevance of these relations for the boundary theory in the AdS_3/CFT_2 correspondence is suggested.

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