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Bibliographic Details
Main Author: Ueda, Mamoru
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2002.03479
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Table of Contents:
  • 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 $k+(m-n)(l-1)\neq0$.