Modular bootstrap in Liouville field theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages

Scientific paper

10.1016/j.physletb.2010.01.036

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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