BRST analysis of N=2 superconformal minimal unitary models in Coulomb gas formalism

TL;DR

This paper conducts a BRST analysis of N=2 superconformal minimal models using Coulomb gas formalism, constructing irreducible representations and deriving character formulas through cohomology methods.

Contribution

It introduces a BRST framework for analyzing N=2 superconformal models, providing a new approach to representation construction and character calculation.

Findings

Irreducible representations constructed via BRST cohomology.

Rederived character formulas using the BRST approach.

Established a bosonic and fermionic BRST operator framework.

Abstract

We perform a BRST analysis of the N=2 superconformal minimal unitary models. A bosonic as well as fermionic BRST operators are used to construct irreducible representations of the N=2 superconformal algebra on the Fock space as BRST cohomology classes of the BRST operators. Also a character formula is rederived by using the BRST analysis.