Braided Logarithmic Vertex Algebras
Quantum Algebra
2024-06-13 v1 Mathematical Physics
math.MP
Abstract
We study a family of algebras defined using a locally-finite endomorphism called a braiding map. When the braiding map is semi-simple, the algebra is a generalized vertex algebra, while when the braiding map is locally-nilpotent we have a logarithmic vertex algebra. We describe a method that associates to these algebras non-local Poisson vertex algebras, and we use this relation to build a new example of a generalized vertex algebra motivated by the non-linear Schr\"odinger non-local Poisson vertex algebra
Cite
@article{arxiv.2406.08458,
title = {Braided Logarithmic Vertex Algebras},
author = {Bojko Bakalov and Juan J. Villarreal},
journal= {arXiv preprint arXiv:2406.08458},
year = {2024}
}