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

TL;DR

This paper explores the construction of $ $-matrices within quiver Yangians and Yang-Baxter algebras, analyzing their relations to other algebraic structures like $ $-Yangians and $ $-algebras for generalized conifolds.

Contribution

It introduces new $ $-matrix constructions in the context of quiver Yangians and clarifies their connections to related algebraic frameworks.

Findings

Proposed new $ $-matrix constructions for quiver Yangians.

Established relations between quiver Yangians and other Yangian and $ $-algebras.

Discussed implications for generalized conifolds.

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.