Vertex $F$-Algebras and Their Associated Lie Algebra
Quantum Algebra
2026-01-19 v2
Abstract
Vertex -algebras are a deformation of the concept of an ordinary vertex algebra in which the additive formal group law is replaced by an arbitrary formal group law . The main theorem of this paper constructs a Lie algebra from a vertex -algebra - for the additive formal group law, this extends Borcherds' well-known construction for ordinary vertex algebras. Our construction involves the new concept of an -residue and some other new algebraic concepts, which are deformations of familiar concepts for the special case of an additive formal group law.
Cite
@article{arxiv.2503.21390,
title = {Vertex $F$-Algebras and Their Associated Lie Algebra},
author = {Markus Upmeier},
journal= {arXiv preprint arXiv:2503.21390},
year = {2026}
}