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arXiv · 2209.05971

Affine BPS algebras, W algebras, and the cohomological Hall algebra of $\mathbb{A}^2$

Ben Davison
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Abstract

We introduce affinizations and deformations of the BPS Lie algebra associated to a tripled quiver with potential, and use them to precisely determine the $T$-equivariant cohomological Hall algebra $\mathcal{H}_{\mathbb{A}^2}^T$ of compactly supported coherent sheaves on $\mathbb{A}^2$, acted on by a torus $T$. In particular we show that this algebra is spherically generated for all $T$.

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BibTeXRIS

Ben Davison. 2022-09-13. Affine BPS algebras, W algebras, and the cohomological Hall algebra of $\mathbb{A}^2$. https://arxiv.org/abs/2209.05971

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