paper

Asymptotic analysis of Dotsenko-Fateev integrals

arXiv:1812.07528 · doi:10.1007/s00023-019-00849-5

Abstract

We develop a method for evaluating asymptotics of certain contour integrals that appear in Conformal Field Theory under the name of Dotsenko-Fateev integrals and which are natural generalizations of the classical hypergeometric functions. We illustrate the method by establishing a number of estimates that are useful in the context of martingale observables for multiple Schramm-Loewner evolution processes.

43 pages. A significant portion of this paper formed part of an earlier version of the preprint arXiv:1701.03698