Modular bootstrap in Liouville field theory
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.
- Publication:
-
Physics Letters B
- Pub Date:
- February 2010
- DOI:
- 10.1016/j.physletb.2010.01.036
- arXiv:
- arXiv:0911.4296
- Bibcode:
- 2010PhLB..685...79H
- Keywords:
-
- High Energy Physics - Theory
- E-Print:
- 11 pages