Order 1/N^2 test of the Maldacena conjecture: Cancellation of the one-loop Weyl anomaly

TL;DR

This paper tests the Maldacena conjecture by calculating one-loop corrections to the Weyl anomaly in type IIB String Theory/N=4 Yang-Mills, finding cancellations consistent with the conjecture.

Contribution

It provides a detailed one-loop calculation showing cancellations of anomalies within supermultiplets, supporting the conjecture's validity.

Findings

One-loop corrections cancel within supermultiplets.

Results support the Maldacena conjecture.

Calculations are performed for Ricci-flat boundary metrics.

Abstract

We test the Maldacena conjecture for type IIB String Theory/ N=4 Yang-Mills by calculating the one-loop corrections in the bulk theory to the Weyl anomaly of the boundary CFT when the latter is coupled to a Ricci-flat metric. The contributions cancel within each supermultiplet, in agreement with the conjecture.