Second Order RG Flow in General su(2) Coset Models

TL;DR

This paper analyzes the renormalization group flow in general su(2) coset models perturbed by the least relevant field, deriving structure constants and correlation functions to understand field mixing.

Contribution

It introduces a recursive construction of perturbing and near-marginal fields, enabling calculation of structure constants and correlation functions in the RG flow.

Findings

Matching mixing coefficients with domain wall results

Explicit computation of structure constants and four-point functions

Validation of recursive construction approach

Abstract

We consider a RG flow in a general su(2) coset model perturbed by the least relevant field. The perturbing field as well as some particular fields of dimension close to one are constructed recursively in terms of lower level fields. Using this construction we obtain the structure constants and the four-point correlation functions in the leading order. This allows us to compute the mixing coefficients among the fields in the UV and the IR theory. It turns out that they are in agreement with those found recently using the domain wall construction up to this order.