Representations of the orbifold of parafermion vertex operator algebra $K(osp(1\mathrm{\mid }2),k)$

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