论文标题
Quiver Yangians和$ \ Mathcal {W} $ - 广义Conifolds代数
Quiver Yangians and $\mathcal{W}$-Algebras for Generalized Conifolds
论文作者
论文摘要
我们专注于大多数概括的针叶片的Quiver Yangians。我们按照Guay-Nakajima-Wendlandt的类似方法来构建Quiver Yangian的合并。我们还证明，塞伯格二元性相关的Quiver Yangians确实是同构。然后，我们讨论他们与$ \ Mathcal {W} $ - 代数类似于UEDA的代数的连接。特别是，$ \ Mathcal {w} $ - 代数的通用代数是颤抖的扬吉人的截断，因此它们自然地将截断的晶体作为其表示形式。
We focus on quiver Yangians for most generalized conifolds. We construct a coproduct of the quiver Yangian following the similar approach by Guay-Nakajima-Wendlandt. We also prove that the quiver Yangians related by Seiberg duality are indeed isomorphic. Then we discuss their connections to $\mathcal{W}$-algebras analogous to the study by Ueda. In particular, the universal enveloping algebras of the $\mathcal{W}$-algebras are truncations of the quiver Yangians, and therefore they naturally have truncated crystals as their representations.
