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arXiv · 2511.02251

Descent Theory for Vertex Algebras

Robin Mader·Terry Gannon·Arturo Pianzola
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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.

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Robin Mader, Terry Gannon, Arturo Pianzola. 2025-11-04. Descent Theory for Vertex Algebras. https://arxiv.org/abs/2511.02251

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