1/N corrections to anomalies and the AdS/CFT correspondence for orientifolded N=2 orbifold and N=1 conifold models

TL;DR

This paper investigates 1/N corrections to anomalies in certain N=2 and N=1 conformal field theories using AdS/CFT correspondence, confirming theoretical predictions through string and field theory calculations.

Contribution

It demonstrates the origin of 1/N corrections to U(1) R-current anomalies from D7-branes in orientifolded orbifold models, extending previous results.

Findings

1/N corrections match between string and field theory calculations

Confirmed AdS/CFT predictions at order 1/N for specific models

Identified D7-branes as the source of anomaly corrections

Abstract

We show that for a large class of d=4 N=2 conformal field theories the 1/N correction to the chiral anomaly of the U(1) R-current can be shown to arise from the D7-branes present in the dual orientifolded orbifold string theories, generalizing a result in the literature for the simplest case. We also study the U(1)_R anomaly for d=4 N=1 conformal field theories that arise from orientifolds of the conifold. We find agreement between the field- and string-theoretic calculations, confirming a prediction of the AdS/CFT correspondence at order 1/N for string theories on AdS_5 x T^{11}/Z_2.