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arXiv · 1508.01923

Vertex algebras associated to abelian current algebras

Jinwei Yang
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Abstract

We construct a family of vertex algebras associated to the current algebra of finite-dimensional abelian Lie algebras along with their modules and logarithmic modules. We show this family of vertex algebras and their modules are quasi-conformal and strongly $\N$-graded and verify convergence and extension property needed in the logarithmic tensor category theory for strongly graded logarithmic modules developed by Huang, Lepowsky and Zhang.

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Jinwei Yang. 2015-08-08. Vertex algebras associated to abelian current algebras. https://arxiv.org/abs/1508.01923

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