Affine BPS algebras, W algebras, and the cohomological Hall algebra of 𝔸²
Abstract
We introduce affinizations and deformations of the BPS Lie algebra associated to a tripled quiver with its canonical cubic potential, and use them to precisely determine the T T -equivariant cohomological Hall algebra A A 2 T \mathcal {A}_{\mathbb {A}^{2}}^{T} of compactly supported coherent sheaves on A C 2 \mathbb {A}_{\mathbb {C}}^{2} , acted on by a torus T T . In particular we show that this algebra is spherically generated for all T T .
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Publisher
- American Mathematical Society
- Pages
- 163–199
- Publication date
- 1 May 2026
- Language
- EN