662 research outputs found
Certain extensions of vertex operator algebras of affine type
We generalize Feigin and Miwa's construction of extended vertex operator
(super)algebras 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.Comment: Latex, 51 page
Simple vertex operator algebras are nondegenerate
In this paper it is shown that every irreducible vertex algebra of countable
dimension and every simple vertex operator algebra are nondegenerate in the
sense of Etingof and Kazhdan.Comment: Latex, 11 page
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