A Gravity Dual of the Chiral Anomaly

TL;DR

This paper explores the holographic dual of the chiral anomaly in a cascading gauge theory, showing how the anomaly manifests as a classical feature in the supergravity solution and involves symmetry breaking via the Higgs mechanism.

Contribution

It provides a gravity dual description of the chiral anomaly and details the symmetry breaking process in the supergravity framework.

Findings

The anomaly appears as a classical feature in the supergravity solution.

The U(1) R-symmetry breaks down to Z_{2M} via the Higgs mechanism.

The study links gauge theory anomalies to geometric features in gravity duals.

Abstract

We study effects associated with the chiral anomaly for a cascading $SU(N+M)\times SU(N)$ gauge theory using gauge/gravity duality. In the gravity dual the anomaly is a classical feature of the supergravity solution, and the breaking of the U(1) R-symmetry down to ${\bf Z}_{2M}$ proceeds via the Higgs mechanism.