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

2023/12/04 by Cuipo Jiang, Qing Wang, Jiang, Cuipo +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2312.01599

openalex publication_date 2023/12/04 · openalex created_date 2023/12/06 · openalex updated_date 2026/07/28

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_\widehatosp(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).

Related

• The structure of parafermion vertex operator algebras K(osp(1|2n),k)
• Representations of ℤ₂-orbifold of the parafermion vertex operator algebra K(sl₂,k)
• Fusion rules for ℤ₂-orbifolds of affine and parafermion vertex operator algebras
• Orbifold theory of the affine vertex operator superalgebra L_\widehatosp(1|2)(k,0)
• Representations of the parafermion vertex operator algebras