Conformal Supergravity from the AdS/CFT Correspondence

TL;DR

This paper explores constructing five-dimensional conformal supergravity using the AdS/CFT correspondence, establishing transformation laws and predicting field weights to advance understanding of supergravity theories.

Contribution

It introduces a method to derive D=5 conformal supergravity from D=6 AdS supergravity via the AdS/CFT correspondence, including the formulation of local transformation laws.

Findings

Established local transformation laws for D=5 CSG

Predicted Weyl weights of fields in D=5

Provided a framework for deriving supergravity from higher dimensions

Abstract

Construction of a five dimensional conformal supergravity (D=5 CSG) is attempted by applying the AdS/CFT correspondence to the F(4) AdS supergravity in six dimensions. As a first step, local transformation laws of D=5 CSG have been established, from which the Weyl weights of the various fields in D=5 can be predicted.