The irreducible modules and fusion rules for the parafermion vertex operator algebras

Abstract

The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra and any positive integer are identified, the quantum dimensions are computed and the fusion rules are determined.

21 pages, minor revision

References in corpus (5)

• Performance Analysis of Asynchronous Multicarrier Wireless Networks
• Representations of the parafermion vertex operator algebras
• The extensions of $L_{s{l}_2}(k,0)$ and preunitary vertex operator algebra with central charges $c<1$
• Quantum dimensions and fusion rules of the VOA $V_{L_{C\times D}}^{\tau }$
• Quantum dimensions and fusion rules for parafermion vertex operator algebras

Cited by in corpus (6)

• Tensor categories for vertex operator superalgebra extensions
• A Holomorphic vertex operator algebra of central charge 24 with weight one Lie algebra $F_{4,6}{A}_{2,2}$
• Representations of the parafermion vertex operator algebras
• Inertia groups and uniqueness of holomorphic vertex operator algebras
• Congruence Property in Orbifold Theory
• On $S$-matrix, and fusion rules for irreducible $V^G$-modules