Toroidal vertex algebras and their modules
Haisheng Li, Shaobin Tan, Qing Wang
TL;DR
This paper develops a comprehensive theory of toroidal vertex algebras and their modules, providing a conceptual construction and linking them to toroidal Lie algebras, thus advancing the mathematical framework in this area.
Contribution
It introduces a new theoretical framework for toroidal vertex algebras and their modules, including a conceptual construction and their association with toroidal Lie algebras.
Findings
Established a theory of toroidal vertex algebras and modules
Provided a conceptual construction method for these algebras
Connected toroidal vertex algebras to toroidal Lie algebras
Abstract
We develop a theory of toroidal vertex algebras and their modules, and we give a conceptual construction of toroidal vertex algebras and their modules. As an application, we associate toroidal vertex algebras and their modules to toroidal Lie algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons