Superconformal 2D Minimal Models and an Unusual Coset Construction

TL;DR

This paper introduces a coset construction method for superconformal 2D minimal models, rigorously defining it and demonstrating its ability to generate all primary fields and compute their three-point functions.

Contribution

It provides a rigorous coset construction for superconformal minimal models, enabling systematic derivation of primary fields and correlation functions.

Findings

Construction rigorously defines superconformal minimal models.

All primary fields of superconformal models can be generated.

Three-point correlation functions are explicitly calculated.

Abstract

We consider a coset construction of minimal models. We define it rigorously and prove that it gives superconformal minimal models. This construction allows to build all primary fields of superconformal models and to calculate their three-point correlation functions.