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arXiv · 2102.10968

Toroidal extended affine Lie algebras and vertex algebras

Fulin Chen·Haisheng Li·Shaobin Tan
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Abstract

In this paper, we study nullity-2 toroidal extended affine Lie algebras in the context of vertex algebras and their $\phi$-coordinated modules. Among the main results, we introduce a variant of toroidal extended affine Lie algebras, associate vertex algebras to the variant Lie algebras, and establish a canonical connection between modules for toroidal extended affine Lie algebras and $\phi$-coordinated modules for these vertex algebras. Furthermore, by employing some results of Billig, we obtain an explicit realization of irreducible modules for the variant Lie algebras.

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Fulin Chen, Haisheng Li, Shaobin Tan. 2021-02-22. Toroidal extended affine Lie algebras and vertex algebras. https://arxiv.org/abs/2102.10968

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