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arXiv · 2002.03479

Affine Super Yangians and Rectangular $W$-superalgebras

Mamoru Ueda
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Abstract

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 $k+(m-n)(l-1)\neq0$.

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BibTeXRIS

Mamoru Ueda. 2020-02-10. Affine Super Yangians and Rectangular $W$-superalgebras. https://doi.org/10.1063/5.0076638

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