# Asymptotic analysis of Dotsenko-Fateev integrals

## TL;DR

This paper introduces a new method for asymptotic analysis of Dotsenko-Fateev integrals, which are important in conformal field theory and SLE processes, providing useful estimates for related martingale observables.

## Contribution

It develops a novel approach to evaluate asymptotics of Dotsenko-Fateev integrals, generalizing classical hypergeometric functions and aiding in SLE martingale analysis.

## Key findings

- Established estimates for Dotsenko-Fateev integrals
- Enhanced understanding of their asymptotic behavior
- Applications to martingale observables in SLE

## 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.