Braided tensor categories and extensions of vertex operator algebras.(English)Zbl 1388.17014
Summary: Let \(V\) be a vertex operator algebra satisfying suitable conditions such that in particular its module category has a natural vertex tensor category structure, and consequently, a natural braided tensor category structure. We prove that the notions of extension (i.e., enlargement) of \(V\) and of commutative associative algebra, with uniqueness of unit and with trivial twist, in the braided tensor category of \(V\)-modules are equivalent.
MSC:
| 17B69 | Vertex operators; vertex operator algebras and related structures |
| 18D10 | Monoidal, symmetric monoidal and braided categories (MSC2010) |
Cite
References:
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