A note on vertex algebras and Costello-Gwilliam factorization algebras
Quantum Algebra
2025-01-30 v2 Mathematical Physics
math.MP
Abstract
We show that the construction of vertex algebras from Costello-Gwilliam factorization algebras on can be achieved without the discreteness condition on the weight spaces. Furthermore, we construct locally constant factorization algebras from commutative vertex algebras, and discuss the relationship between this construction and the jet algebras of commutative algebras.
Keywords
Cite
@article{arxiv.2408.00412,
title = {A note on vertex algebras and Costello-Gwilliam factorization algebras},
author = {Yusuke Nishinaka},
journal= {arXiv preprint arXiv:2408.00412},
year = {2025}
}
Comments
v2: 52 pages, misunderstandings corrected; relationship with jet algebras added