Smoothness of correlation functions in Liouville Conformal Field Theory
Mathematical Physics
2019-06-18 v3 math.MP
Probability
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.
Keywords
Cite
@article{arxiv.1807.10559,
title = {Smoothness of correlation functions in Liouville Conformal Field Theory},
author = {Joona Oikarinen},
journal= {arXiv preprint arXiv:1807.10559},
year = {2019}
}
Comments
25 pages, 1 figure, final version with minor changes