Multipoint correlation functions in Liouville field theory and minimal Liouville gravity

TL;DR

This paper derives analytical expressions for multipoint correlation functions in Liouville field theory, specifically involving degenerate and arbitrary fields, and explores their application to minimal Liouville gravity.

Contribution

It provides explicit Coulomb integral formulas for n+3-point functions with degenerate and arbitrary fields in Liouville theory, advancing understanding of their structure and applications.

Findings

Derived analytical Coulomb integral expressions for correlation functions.

Applied these results to minimal Liouville gravity.

Enhanced computational tools for Liouville field theory.

Abstract

We study n+3-point correlation functions of exponential fields in Liouville field theory with n degenerate and 3 arbitrary fields. An analytical expression for these correlation functions is derived in terms of Coulomb integrals. The application of these results to the minimal Liouville gravity is considered.