The exact renormalisation group equation and the perturbed unitary minimal models

TL;DR

This paper investigates the exact renormalisation group equation for a two-dimensional exponential interaction theory with a background charge, focusing on flows between perturbed unitary minimal models and their realization via quantum group restricted sine-Gordon models.

Contribution

It provides a detailed analysis of the renormalisation group flow for perturbed minimal models using the exact RG equation, linking it to quantum group structures.

Findings

Derived the RG flow equations for perturbed minimal models.

Connected the RG flow to quantum group restricted sine-Gordon models.

Enhanced understanding of the structure of perturbed conformal field theories.

Abstract

The exact renormalisation group equation is studied for a two-dimensional theory with exponential interaction and a background charge at infinity. The motivation for studying this interaction is the flow between unitary minimal models perturbed by Phi_{(1,3)}, and their realisation in terms of a quantum group restricted sine-Gordon model.