Coset Construction of Minimal Models

TL;DR

This paper presents a rigorous coset construction method for minimal models in Wess--Zumino conformal field theory, simplifying the calculation of correlation functions of primary fields.

Contribution

It introduces a new, rigorous coset construction for minimal models, enhancing the computational approach to correlation functions.

Findings

Provides a rigorous framework for minimal models

Simplifies calculation of primary field correlation functions

Connects coset construction with minimal models

Abstract

Usual coset construction $\SU{k}\times\SU{l}/\SU{k+l}$ of Wess--Zumino conformal field theory is presented as a coset construction of minimal models. This new coset construction can be defined rigorously and allows one to calculate easily correlation functions of a number of primary fields.