The 3-permutation orbifold of a lattice vertex operator algebra

2016/11/18 by Chonging Dong, Feng Xu, Dong, Chonging +3
Mathematics · #17B69 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B69

paper · pdf · doi:10.48550/arxiv.1611.05982

21 pages

arxiv created 2017/06/24 · arxiv updated 2017/06/27

Abstract

Irreducible modules of the 3-permutation orbifold of a rank one lattice vertex operator algebra are listed explicitly. Fusion rules are determined by using the quantum dimensions. The S-matrix is also given.

Related

• Cyclic permutations of lattice vertex operator algebras
• 2-permutations of lattice vertex operator algebras: Higher rank
• Representations and fusion rules for the orbifold vertex operator algebras L_\widehat\fraksl₂(k,0)^ℤ₃
• Quantum dimensions and fusion products for irreducible V_Q^s-modules, where s is an isometry of Q with s²=1
• Fusion rules for ℤ₂-orbifolds of affine and parafermion vertex operator algebras