A Note on Anomalies in the AdS/CFT Correspondence

TL;DR

This paper tests the AdS/CFT correspondence for a 4D N=2 SCFT by comparing chiral anomalies, including 1/N corrections, and finds they are reproduced by bulk 7-brane effective action terms, extending the validity beyond large N.

Contribution

It demonstrates that the AdS/CFT correspondence accurately reproduces subleading 1/N corrections to anomalies in a 4D N=2 SCFT using bulk 7-brane effective actions.

Findings

Field theory anomalies match bulk calculations.

Corrections of order 1/N are successfully reproduced.

Supports the validity of AdS/CFT beyond the large N limit.

Abstract

We test the AdS/CFT correspondence in the case of a d=4 N=2 SCFT by comparing chiral anomalies which are of order N in the 't Hooft large N limit. These include corrections of order 1/N to the conformal anomaly, thus testing the correspondence beyond the extreme large N limit. The field theory anomalies are reproduced by terms in the 7-brane effective action in the bulk.