Fusion products of twisted modules in permutation orbifolds

Dong, Chongying; Li, Haisheng; Xu, Feng; Yu, Nina

doi:10.1090/tran/8959

Fusion products of twisted modules in permutation orbifolds
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by Chongying Dong, Haisheng Li, Feng Xu and Nina Yu

Trans. Amer. Math. Soc. 377 (2024), 1717-1760

DOI: https://doi.org/10.1090/tran/8959

Published electronically: December 12, 2023

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Abstract:

Let $V$ be a vertex operator algebra, $k$ a positive integer and $\sigma$ a permutation automorphism of the vertex operator algebra $V^{\otimes k}$. In this paper, we determine the fusion product of any $V^{\otimes k}$-module with any $\sigma$-twisted $V^{\otimes k}$-module.

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