The Toric Phases of the Y^{p,q} Quivers

TL;DR

This paper constructs all toric phases of Y^{p,q} quivers, demonstrates their IR equivalence via Seiberg duality, and computes their R and global U(1) charges, advancing understanding of their dual gauge theories.

Contribution

It systematically constructs all toric phases of Y^{p,q} quivers and proves their IR equivalence, providing a comprehensive analysis of their charge assignments.

Findings

All toric phases of Y^{p,q} quivers are constructed.

IR equivalence of these phases is established via Seiberg duality.

R and global U(1) charges are computed for generic phases.

Abstract

We construct all connected toric phases of the recently discovered $Y^{p,q}$ quivers and show their IR equivalence using Seiberg duality. We also compute the R and global U(1) charges for a generic toric phase of $Y^{p,q}$.