Twisted representations of vertex operator algebras and associative algebras
نویسندگان
چکیده
Let V be a vertex operator algebra and g an automorphism of order T . We construct a sequence of associative algebras Ag,n(V ) with n ∈ 1 T Z nonnegative such that Ag,n(V ) is a quotient of Ag,n+1/T (V ) and a pair of functors between the category of Ag,n(V )-modules which are not Ag,n−1/T (V )-modules and the category of admissible V -modules. These functors exhibit a bijection between the simple modules in each category. We also show that V is g-rational if and only if all Ag,n(V ) are finite-dimensional semisimple algebras.
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