English

Modular bootstrap in Liouville field theory

High Energy Physics - Theory 2010-03-03 v1

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.

Keywords

Cite

@article{arxiv.0911.4296,
  title  = {Modular bootstrap in Liouville field theory},
  author = {Leszek Hadasz and Zbigniew Jaskolski and Paulina Suchanek},
  journal= {arXiv preprint arXiv:0911.4296},
  year   = {2010}
}

Comments

11 pages

R2 v1 2026-06-21T14:14:44.389Z