Permutation orbifolds and associative algebras

2020/03/29 by Chongying Dong, Feng Xu, Dong, Chongying +3
Mathematics · Physics and Astronomy · #17B69 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2003.12927

openalex publication_date 2020/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let V be a vertex operator algebra and g=(1 2 ⋯ k) be a k-cycle which is viewed as an automorphism of the vertex operator algebra V^{⊗ k}. It is proved that Dong-Li-Mason's associated associative algebra A_g(V^{⊗ k}) is isomorphic to Zhu's algebra A(V) explicitly. This result recovers a previous result that there is a one-to-one correspondence between irreducible g-twisted V^{⊗ k}-modules and irreducible V-modules.

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