Vertex algebras associated to abelian current algebras
Quantum Algebra
2016-05-25 v2 Representation Theory
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 -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.
Keywords
Cite
@article{arxiv.1508.01923,
title = {Vertex algebras associated to abelian current algebras},
author = {Jinwei Yang},
journal= {arXiv preprint arXiv:1508.01923},
year = {2016}
}
Comments
24 pages, Comments are very welcome. arXiv admin note: text overlap with arXiv:math/0206206, arXiv:1012.4193 by other authors