On certain vertex algebras and their modules associated with vertex algebroids
نویسنده
چکیده
We study the family of vertex algebras associated with vertex algebroids, constructed by Gorbounov, Malikov, and Schechtman. As the main result, we classify all the (graded) simple modules for such vertex algebras and we show that the equivalence classes of graded simple modules one-to-one correspond to the equivalence classes of simple modules for the Lie algebroids associated with the vertex algebroids. To achieve our goal, we construct and exploit a Lie algebra from a given vertex algebroid.
منابع مشابه
Twisted modules for vertex algebras associated with vertex algebroids
We continue with [LY] to construct and classify graded simple twisted modules for the N-graded vertex algebras constructed by Gorbounov, Malikov and Schechtman from vertex algebroids. Meanwhile we determine the full automorphism groups of those N-graded vertex algebras in terms of the automorphism groups of the corresponding vertex algebroids.
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