Exact g-function flows from the staircase model

TL;DR

This paper derives exact equations for g-functions in integrable 2D quantum field theories, confirming and extending previous results by embedding flows into a boundary staircase model.

Contribution

It introduces a method to obtain exact g-function flow equations for boundary and bulk flows in minimal models using an embedding into the staircase model.

Findings

Derived exact g-function flow equations for minimal models.

Confirmed previous perturbative results with exact solutions.

Extended the understanding of boundary flows in integrable models.

Abstract

Equations are found for exact g-functions corresponding to integrable bulk and boundary flows between successive unitary c<1 minimal conformal field theories in two dimensions, confirming and extending previous perturbative results. These equations are obtained via an embedding of the flows into a boundary version of Al. Zamolodchikov's staircase model.