Representations of the orbifold of parafermion vertex operator algebra $K(osp(1|2),k)$

Abstract

This paper is about the orbifold theory of parafermion vertex operator algebras $K(osp(1|2),k)$ associated to the affine vertex operator superalgebra $L_{\widehat{osp(1|2)}}(k,0)$ with any positive integer $k$. Among the main results, we classify the irreducible modules for the orbifold of parafermion vertex operator algebra $K(osp(1|2),k)$.

22 pages. arXiv admin note: substantial text overlap with arXiv:2306.03334