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arxiv: 0911.4296 · v1 · submitted 2009-11-22 · ✦ hep-th

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Modular bootstrap in Liouville field theory

Leszek Hadasz , Zbigniew Jaskolski , Paulina Suchanek
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classification ✦ hep-th
keywords modularpointblocksfieldliouvillematrixtheorybootstrap
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The modular matrix for the generic 1-point conformal blocks on the torus is expressed in terms of the fusion matrix for the 4-point blocks on the sphere. The modular invariance of the toric 1-point functions in the Liouville field theory with DOZZ structure constants is proved.

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