Braided logarithmic vertex algebras
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 Schrödinger non-local Poisson vertex algebra.
Fields of Study & Subjects
Matrix Theory and Algorithms
Advanced Algebra and Logic
Polynomial and algebraic computation
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 8
- Pages
- 3169–3183
- Publication date
- 5 June 2026
- Language
- EN