Antti Kupiainen, Rémi Rhodes, Vincent Vargas
Published 2018-03-14Version 1
We present a rigorous proof of the Dorn, Otto, Zamolodchikov, Zamolodchikov formula (the DOZZ formula) for the 3 point structure constants of Liouville Conformal Field Theory (LCFT) starting from a rigorous probabilistic construction of the functional integral defining LCFT given earlier by the authors and David. A crucial ingredient in our argument is a probabilistic derivation of the reflection relation in LCFT based on a refined tail analysis of Gaussian multiplicative chaos measures.
A new representation for non--local operators and path integrals
Calculation Rule for Aoyama-Tamra's Prescription for Path Integral with Quantum Tunneling
Path Integrals, BRST Identities and Regularization Schemes in Nonstandard Gauges
![QR code for arXiv:1803.05418 [hep-th]](http://oss.arxitics.com/images/favicon.svg)