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Guay's affine Yangians and non-rectangular $W$-algebras

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arxiv 2301.00035 v2 pith:7OXXT3AO submitted 2022-12-30 math.QA

Mamoru Ueda This is my paper · ORCID
classification math.QA
keywords affineguayalgebrasconstructhomomorphismnon-rectangularyangianalgebra
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abstract

We construct a non-trivial homomorphism from the Guay's affine Yangian to the universal enveloping algebra of non-rectangular $W$-algebras of type $A$. In order to construct the homomorphism, we extend the Guay's affine Yangian and its coproduct.

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  1. Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues

    hep-th 2025-01 conditional novelty 7.0 of 10

    For quivers satisfying a no-overlap condition, flavored BPS indices are computed by crystal melting derived from Jeffrey-Kirwan residues, and new double quiver algebras are constructed whose crystal representations en...

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