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- Thomas Creutzig
- Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2R3, Canada
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- Robert McRae
- Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, P. R. China
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- Jinwei Yang
- Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2R3, Canada
説明
<jats:p> We show that direct limit completions of vertex tensor categories inherit vertex and braided tensor category structures, under conditions that hold for example for all known Virasoro and affine Lie algebra tensor categories. A consequence is that the theory of vertex operator (super)algebra extensions also applies to infinite-order extensions. As an application, we relate rigid and non-degenerate vertex tensor categories of certain modules for both the affine vertex superalgebra of [Formula: see text] and the [Formula: see text] super Virasoro algebra to categories of Virasoro algebra modules via certain cosets. </jats:p>
収録刊行物
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- Communications in Contemporary Mathematics
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Communications in Contemporary Mathematics 24 (02), 2021-05-25
World Scientific Pub Co Pte Ltd