Braided Tensor Categories and Extensions of Vertex Operator Algebras

作者：Huang Yi Zhi^*; Kirillov Alexander Jr; Lepowsky James

来源：Communications in Mathematical Physics, 2015, 337(3): 1143-1159.

DOI：10.1007/s00220-015-2292-1

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.

• 出版日期2015-8