Superconformal Anomaly from AdS/CFT Correspondence

TL;DR

This paper reviews how superconformal anomalies in gauge theories are derived from five-dimensional gauged supergravity via the AdS/CFT correspondence, supporting the conjecture with a comprehensive anomaly multiplet analysis.

Contribution

It demonstrates the holographic derivation of the complete superconformal anomaly multiplet from five-dimensional gauged supergravity, providing a detailed test of the AdS/CFT correspondence.

Findings

Holographic derivation of superconformal anomalies

Support for AdS/CFT conjecture through anomaly analysis

Complete supermultiplet of anomalies obtained from gravity side

Abstract

For a classical superconformal gauge theory in a conformal supergravity background, its chiral R-symmetry anomaly, Weyl anomaly and super-Weyl anomaly constitute a supermultiplet. We review how these anomalies arise from the five-dimensional gauged supergravity in terms of the AdS/CFT correspondence at the gravity level. The holographic production of this full superconformal anomaly multiplet provides a support and test to the celebrated AdS/CFT conjecture.