Smoothness of correlation functions in Liouville Conformal Field Theory

Joona Oikarinen

Published 2018-07-27Version 1

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.