Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 337, Issue 3, Pages 1143-1159Publisher
SPRINGER
DOI: 10.1007/s00220-015-2292-1
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Funding
- NSF [DMS-0070800, DMS-0401302]
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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.
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