S-matrix in permutation orbifolds

2021/12/20 by Chongying Dong, Feng Xu, Dong, Chongying +3
Mathematics · #17B69 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B69

paper · pdf · doi:10.48550/arxiv.2112.10487

20 pages

arxiv created 2021/12/20 · openalex publication_date 2021/12/20 · arxiv updated 2021/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a fixed positive integer k, any element g of the permutation group S_k acts on the tensor product vertex operator algebra V^{⊗ k} in the obvious way. In this paper, we determine the S-matrix of (V^{⊗ k})^G if G=⟨ g⟩ is the cyclic group generated by g=(1, 2,⋯,k).

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