New Example of Infinite Family of Quiver Gauge Theories

TL;DR

This paper introduces an infinite family of quiver gauge theories that include models for the third del Pezzo surface, revealing irrational R-charges and suggesting dual geometries are irregular toric Sasaki-Einstein manifolds.

Contribution

It constructs a new infinite family of quiver gauge theories related to known models and analyzes their properties using Z-minimaization, highlighting their irrational R-charges.

Findings

Theories include a model for the third del Pezzo surface.

Most theories have irrational R-charges.

Dual geometries are likely irregular toric Sasaki-Einstein manifolds.

Abstract

We construct a new infinite family of quiver gauge theories which blow down to the X^{p,q} quiver gauge theories found by Hanany, Kazakopoulos and Wecht. This family includes a quiver gauge theory for the third del Pezzo surface. We show, using Z-minimaization, that these theories generically have irrational R-charges. The AdS/CFT correspondence implies that the dual geometries are irregular toric Sasaki-Einstein manifolds, although we do not know the explicit metrics.