2021 journal article
Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras
JOURNAL OF MATHEMATICAL PHYSICS, 62(3).
Given a simple finite-dimensional Lie algebra and an automorphism of finite order, one defines the notion of a twisted toroidal Lie algebra. In this paper, we construct representations of twisted toroidal Lie algebras from twisted modules over affine and lattice vertex algebras.