June 7, 2024Open Access

Affine super Yangians and non-rectangular W-superalgebras

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Abstract

We construct four edge contractions for the affine super Yangian of type A. By using these edge contractions, we give a homomorphism from the affine super Yangian of type A to the universal enveloping algebra of the non-rectangular W-superalgebra of type A.

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Mamoru Ueda (Fri,) studied this question.

synapsesocial.com/papers/68e65bb9b6db6435875ea977 https://doi.org/https://doi.org/10.48550/arxiv.2406.04953

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3The coproduct for the affine Yangian and the parabolic induction for non-rectangular $W$-algebras2024
4Coproducts for affine super-Yangian and Weyl groupoid action2025
5On the structure of W-algebras in type A2024

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