Ref HAL: hal-00379184_v1
Ref Arxiv: 0902.1331
DOI: 10.1088/1751-8113/42/30/304011
WoS: 000267943000012
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
41 Citations
Résumé:

Liouville field theory on a sphere is considered. We explicitly derive adifferential equation for four-point correlation functions with one degeneratefield $V_{-\frac{mb}{2}}$. We introduce and study also a class of four-pointconformal blocks which can be calculated exactly and represented by finitedimensional integrals of elliptic theta-functions for arbitrary intermediatedimension. We study also the bootstrap equations for these conformal blocks andderive integral representations for corresponding four-point correlationfunctions. A relation between the one-point correlation function of a primaryfield on a torus and a special four-point correlation function on a sphere isproposed.

Commentaires: 29 pp.