# Unitary and non-unitary $N=2$ minimal models

## TL;DR

This paper provides a comprehensive analysis of both unitary and non-unitary N=2 superconformal minimal models using Schur-Weyl duality, classifying modules, characters, and fusion rules.

## Contribution

It introduces a uniform approach to analyze all N=2 minimal models via Schur-Weyl duality within the Kazama-Suzuki coset framework, including non-unitary cases.

## Key findings

- Classification of irreducible modules
- Derivation of branching rules and characters
- Determination of fusion rules

## Abstract

The unitary $N = 2$ superconformal minimal models have a long history in string theory and mathematical physics, while their non-unitary (and logarithmic) cousins have recently attracted interest from mathematicians. Here, we give an efficient and uniform analysis of all these models as an application of a type of Schur-Weyl duality, as it pertains to the well-known Kazama-Suzuki coset construction. The results include straightforward classifications of the irreducible modules, branching rules, (super)characters and (Grothendieck) fusion rules.