Holography and Anomaly Matching for Resonances

TL;DR

This paper establishes a universal relation for triangle anomalies in theories with gravity duals, deriving sum rules for resonances and connecting anomaly matching principles to QCD-like theories.

Contribution

It introduces a universal anomaly relation for resonances in holographic models, extending anomaly matching concepts to massive states.

Findings

Derived sum rules linking resonance parameters

Formulas for current matrix elements in electromagnetic fields

Approximate validity of the relation in real QCD

Abstract

We derive a universal relation for the transverse part of triangle anomalies within a class of theories whose gravity dual is described by the Yang-Mills-Chern-Simons theory. This relation provides a set of sum rules involving the masses, decay constants and couplings between resonances, and leads to the formulas for the matrix elements of the vector and axial currents in the presence of the soft electromagnetic field. We also discuss that this relation is valid in real QCD at least approximately. This may be regarded as the anomaly matching for resonances as an analogue of that for the massless excitations in QCD.