The structure of parafermion vertex operator algebras $K(osp(1|2n),k)$

TL;DR

This paper investigates the detailed algebraic structure of parafermion vertex operator algebras linked to affine Lie superalgebras, specifically focusing on $osp(1|2n)$, and identifies their generators.

Contribution

It provides a comprehensive description of the generators of parafermion vertex operator algebras associated with $osp(1|2n)$, advancing understanding of their algebraic structure.

Findings

Determined the generators of the parafermion vertex operator algebra for $osp(1|2n)$.

Enhanced understanding of the algebraic structure of these VOAs.

Contributed to the classification and analysis of superalgebra-related VOAs.

Abstract

In this paper, the structure of the parafermion vertex operator algebra associated to an integrable highest weight module for simple affine Lie superalgebra $osp(1|2n)$ is studied. Particularly, we determine the generators for this algebra.