Representations of ${\mathbb{Z}}_2$-orbifold of the parafermion vertex operator algebra $K(s{l}_2,k)$

Abstract

In this paper, the irreducible modules for the ${\mathbb{Z}}_2$-orbifold vertex operator subalgebra of the parafermion vertex operator algebra associated to the irreducible highest weight modules for the affine Kac-Moody algebra $A_1^{(1)}$ of level $k$ are classified and constructed.

21 pages

References in corpus (2)

• Tensor Decomposition, Parafermions, Level-Rank Duality, and Reciprocity Law for Vertex Operator Algebras
• Parafermion vertex operator algebras and W-algebras