Smoothness of correlation functions in Liouville Conformal Field Theory
arXiv:1807.10559 · doi:10.1007/s00023-019-00789-0
Abstract
In this article we prove smoothness of the correlation functions in probabilistic Liouville Conformal Field Theory. Our result is a step towards proving that the correlation functions satisfy the higher Ward identities and the higher BPZ equations, predicted by the Conformal Bootstrap approach to Conformal Field Theory.
25 pages, 1 figure, final version with minor changes