Conformal Symmetry of Supergravities in AdS spaces

TL;DR

This paper demonstrates that supergravity in AdS space exhibits conformal symmetry through the background field method, establishing boundary conformal invariance of correlators.

Contribution

It shows how the background field method reveals conformal symmetry in supergravity in AdS spaces and connects bulk and boundary invariances.

Findings

Bulk supergravity path integral has conformal symmetry.

Boundary generating functional is conformally invariant.

Establishes link between AdS isometry and boundary conformal invariance.

Abstract

We show that the background field method applied to supergravity in adS space-time provides the path integral for the theory in the bulk with conformal symmetry associated with the isometry of the adS space. This in turn allows to establish the rigid conformal invariance of the generating functional for the supergravity correlators on the boundary.