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arXiv · 0911.4296

Modular bootstrap in Liouville field theory

Leszek Hadasz·Zbigniew Jaskolski·Paulina Suchanek
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Abstract

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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Leszek Hadasz, Zbigniew Jaskolski, Paulina Suchanek. 2009-11-22. Modular bootstrap in Liouville field theory. https://doi.org/10.1016/j.physletb.2010.01.036

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