# Exact g-function flow between conformal field theories

## TL;DR

This paper introduces exact equations to describe boundary g-function flows in integrable quantum field theories, connecting different conformal field theories in UV and IR limits, with applications demonstrated on Ising models.

## Contribution

It extends previous models to include flows between conformal theories, providing a general method for analyzing integrable boundary flows.

## Key findings

- Derived exact equations for g-function flows
- Applied method to Ising model flows
- Potential for analyzing general conformal boundary flows

## Abstract

Exact equations are proposed to describe g-function flows in integrable boundary quantum field theories which interpolate between different conformal field theories in their ultraviolet and infrared limits, extending previous work where purely massive flows were treated. The approach is illustrated with flows between the tricritical and critical Ising models, but the method is not restricted to these cases and should be of use in unravelling general patterns of integrable boundary flows between pairs of conformal field theories.