论文标题
仿射超级Yangians和矩形$ W $ -Superalgebras
Affine Super Yangians and Rectangular $W$-superalgebras
论文作者
论文摘要
在本文中，我们从仿射超级扬吉亚$ y _ {\ ve_1，\ ve_2}（\ wideHat {\ mathfrak {sl}}}（m | n））$构造同构型，向矩形$ w $ -superalgebra的通用代数$ w^{k}（\ mathfrak {gl}（ml | nl），（l^{（m | n）}））$。我们还表明，只要$ k+（m-n）（l-1）\ neq0 $，这种同态的图像是密集的。
In this paper, we construct a homomorphism from the affine super Yangian $Y_{\ve_1,\ve_2}(\widehat{\mathfrak{sl}}(m|n))$ to the universal enveloping algebra of the rectangular $W$-superalgebra $W^{k}(\mathfrak{gl}(ml|nl),(l^{(m|n)}))$. We also show that the image of this homomorphism is dense provided that $k+(m-n)(l-1)\neq0$.
