论文标题
Aggine BPS代数，W代数和$ \ Mathbb {a}^2 $的共同学厅代数
Affine BPS algebras, W algebras, and the cohomological Hall algebra of $\mathbb{A}^2$
论文作者
论文摘要
我们介绍了BPS的亲信和变形，该代数与有潜力的三倍相关的代数，并使用它们来精确确定$ t $ equivariant的同胞霍尔代数$ \ MATHCAL {h} _ {h} _ {在圆环$ t $上。特别是，我们表明该代数是针对所有$ t $生成的。
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 $T$.
