A New Infinite Class of Quiver Gauge Theories

TL;DR

This paper introduces an infinite family of N=1 quiver gauge theories with dual toric Calabi-Yau geometries, expanding the landscape of gauge/gravity dualities and exploring their Seiberg dualities and geometric properties.

Contribution

It constructs a new infinite class of quiver gauge theories that can be Higgsed to known theories and analyzes their dual geometries and dualities.

Findings

Defined the toric data for the dual Calabi-Yau cones

Explored Seiberg duality actions on the new quivers

Identified properties of the dual Sasaki-Einstein manifolds

Abstract

We construct a new infinite family of N=1 quiver gauge theories which can be Higgsed to the Y^{p,q} quiver gauge theories. The dual geometries are toric Calabi-Yau cones for which we give the toric data. We also discuss the action of Seiberg duality on these quivers, and explore the different Seiberg dual theories. We describe the relationship of these theories to five dimensional gauge theories on (p,q) 5-branes. Using the toric data, we specify some of the properties of the corresponding dual Sasaki-Einstein manifolds. These theories generically have algebraic R-charges which are not quadratic irrational numbers. The metrics for these manifolds still remain unknown.