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Logarithmic CFT on the Boundary and the World-Sheet

Alex Lewis
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Abstract

The correspondences between logarithmic operators in the CFTs on the boundary of AdS_3 and on the world-sheet and dipole fields in the bulk are studied using the free field formulation of the SL(2,C)/SU(2) WZNW model. We find that logarithmic operators on the boundary are related to operators on the world-sheet which are in indecomposable representations of SL(2). The Knizhnik-Zamolodchikov equation is used to determine the conditions for those representations to appear in the operator product expansions of the model.

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Alex Lewis. 2000-09-12. Logarithmic CFT on the Boundary and the World-Sheet. https://arxiv.org/abs/hep-th/0009096

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