A Note on Quiver Yangians and $\mathcal{R}$-Matrices

Jiakang Bao

A Note on Quiver Yangians and $\mathcal{R}$-Matrices

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arxiv 2206.06186 v4 pith:FEZ7TKXT submitted 2022-06-13 hep-th math-phmath.AGmath.MPmath.RT

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abstract

In this note, we study possible $\mathcal{R}$-matrix constructions in the context of quiver Yangians and Yang-Baxter algebras. For generalized conifolds, we also discuss the relations between the quiver Yangians and some other Yangian algebras (and $\mathcal{W}$-algebras) in literature.

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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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