Local Symmetries in the AdS_7/CFT_6 Correspondence

TL;DR

The paper demonstrates how local symmetries in seven-dimensional AdS supergravity induce corresponding symmetries in six-dimensional boundary conformal supergravity, linking bulk and boundary theories in the AdS/CFT correspondence.

Contribution

It establishes a direct connection between local symmetries of AdS_7 supergravity and boundary N=(2,0) conformal supergravity, revealing the structure of boundary supermultiplets.

Findings

Boundary values form a supermultiplet of conformal supergravity

Local AdS symmetries induce boundary conformal symmetries

Supports the AdS/CFT correspondence in 7D/6D case

Abstract

It is shown that local symmetry transformations of the maximal AdS supergravity in seven-dimensional anti de Sitter space induce those of the N=(2,0) conformal supergravity on the six-dimensional boundary at infinity. Boundary values of the AdS supergravity fields form a supermultiplet of the conformal supergravity.