Weyl anomaly from Weyl gravity

TL;DR

This paper computes the conformal anomaly from 5d Weyl gravity, exploring its potential duality with ${ m N}=2$ superconformal field theory through AdS/CFT, and discusses the implications of sub-leading corrections.

Contribution

It introduces a calculation of the conformal anomaly from 5d Weyl gravity and examines its consistency with ${ m N}=2$ SCFT anomalies, proposing a possible duality.

Findings

Conformal anomaly from 5d Weyl gravity calculated.

Comparison suggests potential duality with ${ m N}=2$ SCFT.

Sub-leading 1/N corrections may be necessary for precise matching.

Abstract

We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to ${\cal N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with ${\cal N}=2$ SCFT conformal anomaly (UV calculation) suggests that such duality may exist subject to presence of sub-leading 1/N corrections to cosmological and gravitational constants.