Non-critical string pentagon equations and their solutions

TL;DR

This paper derives pentagon relations for 3-point boundary tachyon functions in non-critical open string theory, providing new formulas and solutions relevant for FZZ branes and Liouville theory.

Contribution

It introduces new pentagon equations for boundary correlators and a general formula for Liouville 3-point functions in non-critical string theory.

Findings

Derived pentagon relations for boundary tachyon correlators

Obtained a new general formula for Liouville 3-point functions

Analyzed solutions in the context of FZZ branes

Abstract

We derive pentagon type relations for the 3-point boundary tachyon correlation functions in the non-critical open string theory with generic c_{matter} < 1 and study their solutions in the case of FZZ branes. A new general formula for the Liouville 3-point factor is derived.