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

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.

arXiv comment48 pages; v2,v3,v4: minor corrections

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• Gauge origami and quiver W-algebras
• More on Affine Dynkin Quiver Yangians
• BPS States Meet Generalized Cohomology
• Quiver Yangians and $\mathcal{W}$-Algebras for Generalized Conifolds
• Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
• An Overview of Crystals and Double Quiver Yangians