Boundary fermion currents and subleading order chiral anomaly in the AdS/CFT correspondence

TL;DR

This paper constructs a wave-functional in AdS/CFT to compute bulk fermion contributions to the boundary chiral anomaly, revealing subleading order effects consistent with previous results in ${ m N}=4$ SYM.

Contribution

It introduces a wave-functional approach to calculate fermion-induced anomalies in AdS/CFT, capturing subleading order effects in the large N expansion.

Findings

The wave-functional accurately reproduces the subleading chiral anomaly contributions.

Results agree with Bilal & Chu's previous calculations.

Provides a new method for analyzing fermion effects in holographic anomalies.

Abstract

We construct a wave-functional whose argument couples to boundary fermion currents in the AdS/CFT correspondence. Using this we calculate the contributions from bulk fermions to the chiral anomaly that give the subleading order term in the exact $N$-dependence of the chiral anomaly of ${\cal N}=4$ SYM. The result agrees with the calculation of Bilal & Chu.