Descent Theory for Vertex Algebras
Quantum Algebra
2025-12-24 v2 Algebraic Geometry
Rings and Algebras
Abstract
Vertex algebras can be defined over any differential commutative ring. We develop the general descent theory for vertex algebras over such bases. We apply this to the classification of twisted forms of affine and Heisenberg vertex algebras, and to reinterpret and generalize a correspondence of Li.
Cite
@article{arxiv.2511.02251,
title = {Descent Theory for Vertex Algebras},
author = {Robin Mader and Terry Gannon and Arturo Pianzola},
journal= {arXiv preprint arXiv:2511.02251},
year = {2025}
}
Comments
19 pages; to appear in CR Maths de l'Acad des Sciences Canada