Finite W-Superalgebras and Truncated Super Yangians |
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Authors: | Yung-Ning Peng |
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Institution: | 1. Institute of Mathematics, Academia Sinica, Taipei City, 10617, Taiwan
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Abstract: | Let ${Y_{m|n}^{\ell}}$ be the super Yangian of general linear Lie superalgebra for ${\mathfrak{gl}_{m|n}}$ . Let ${e \in \mathfrak{gl}_{m\ell|n\ell}}$ be a “rectangular” nilpotent element and ${\mathcal{W}_e}$ be the finite W-superalgebra associated to e. We show that ${Y_{m|n}^{\ell}}$ is isomorphic to ${\mathcal{W}_e}$ . |
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