Structure constants in the N=1 superoperator algebra

TL;DR

This paper extends Coulomb Gas methods to compute structure constants in N=1 superconformal field theories, specifically for the minimal models in the Neveu-Schwarz sector, advancing the understanding of their algebraic structure.

Contribution

It provides a novel extension of Coulomb Gas techniques to N=1 superconformal algebras, calculating structure constants in the Neveu-Schwarz sector.

Findings

Explicit formulas for structure constants in N=1 minimal models

Extension of Coulomb Gas methods to supersymmetric cases

Enhanced understanding of superoperator algebra structure

Abstract

Using the Coulomb Gas formulation of N=1 Superconformal Field Theories, we extend the arguments of Dotsenko and Fateev for the bosonic case to evaluate the structure constants of N=1 minimal Superconformal Algebras in the Neveu-Schwarz sector.