Comments on Anomalies and Charges of Toric-Quiver Duals

TL;DR

This paper derives a simple formula for triangle 't Hooft anomalies in toric quiver gauge theories, clarifies flavor charge definitions, and confirms the equivalence of a-maximization and Z-minimization with precise anomaly-correlation matching.

Contribution

It provides a simplified expression for anomalies, resolves flavor charge ambiguities, and strengthens the theoretical link between a-maximization and Z-minimization in toric quiver duals.

Findings

Derived a simple anomaly expression for toric quiver theories.

Resolved flavor charge ambiguity issues.

Confirmed perfect agreement between anomaly coefficients and correlators.

Abstract

We obtain a simple expression for the triangle `t Hooft anomalies in quiver gauge theories that are dual to toric Sasaki-Einstein manifolds. We utilize the result and simplify considerably the proof concerning the equivalence of a-maximization and Z-minimization. We also resolve the ambiguity in defining the flavor charges in quiver gauge theories. We then compare coefficients of the triangle anomalies with coefficients of the current-current correlators and find perfect agreement.