Fusion Rules for the Vertex Operator Algebras M (1)
نویسندگان
چکیده
The fusion rules for the vertex operator algebras M(1)+ (of any rank) and V + L (for any positive definite even lattice L) are determined completely.
منابع مشابه
Certain extensions of vertex operator algebras of affine type
We generalize Feigin and Miwa’s construction of extended vertex operator (super)algebras Ak(sl(2)) for other types of simple Lie algebras. For all the constructed extended vertex operator (super)algebras, irreducible modules are classified, complete reducibility of every module is proved and fusion rules are determined modulo the fusion rules for vertex operator algebras of affine type.
متن کاملSome finiteness properties of regular vertex operator algebras
We give a natural extension of the notion of the contragredient module for a vertex operator algebra. By using this extension we prove that for regular vertex operator algebras, Zhu’s C2-finiteness condition holds, fusion rules (for any three irreducible modules) are finite and the vertex operator algebras themselves are finitely generated.
متن کاملVertex operator algebras, fusion rules and modular transformations
We discuss a recent proof by the author of a general version of the Verlinde conjecture in the framework of vertex operator algebras and the application of this result to the construction of modular tensor tensor category structure on the category of modules for a vertex operator algebra.
متن کاملOn intertwining operators and finite automorphism groups of vertex operator algebras
Let V be a simple vertex operator algebra and G a finite automorphism group. We give a construction of intertwining operators for irreducible V G-modules which occur as submodules of irreducible V -modules by using intertwining operators for V . We also determine some fusion rules for a vertex operator algebra as an application.
متن کاملiv : h ep - t h / 93 12 06 5 v 1 9 D ec 1 99 3 Vertex Operator Superalgebras and Their Representations ∗ †
Vertex operator algebras (VOA) were introduced in physics by Belavin, Polyakov and Zamolodchikov [BPZ] and in mathematics by Borcherds [B]. For a detailed exposition of the theory of VOAs see [FLM] and [FHL]. In a remarkable development of the theory, Zhu [Z] constructed an associative algebra A(V ) corresponding to a VOA V and established a 1-1 correspondence between the irreducible representa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008