Irreducible modules of toroidal Lie algebras arising from ${\varphi }_{\epsilon }$-coordinated modules of vertex algebras

Fulin Chen, Huansheng Li, Nina Yu

In this paper, for every $\epsilon \in \mathbb{Z}$, we introduce an extension of the 2-toroidal Lie algebra by certain derivations. Based on the ${\varphi }_{\epsilon }$-coordinated modules theory for vertex…