Regularity of vertex operator superalgebras |
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| Authors: | ChunRui Ai JianZhi Han |
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| Institution: | 1. Department of Mathematics, Sichuan University, Chengdu, 610064, China
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| Abstract: | We prove that the regularity of a vertex operator superalgebra can be reduced to the semisimplicity of the category of its weak modules. Moreover, the rationality can be replaced by requiring that each $\tfrac{1} {2}\mathbb{Z}_ +$ -graded module is a direct sum of irreducible weak modules. |
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| Keywords: | vertex operator superalgebras regularity /Z-graded modules |
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