Biconformal supergravity and the AdS/CFT conjecture

TL;DR

This paper introduces biconformal supergravity models as a new approach to gauge the superconformal group, generating a superspace framework relevant to the AdS/CFT correspondence and connecting to general relativity.

Contribution

It develops a novel gauging method for the superconformal group SU(2,2|N) using the group quotient approach, leading to a superspace formulation with potential implications for the Maldacena conjecture.

Findings

Constructed a 16-dimensional superspace via group quotient method.

Formulated general actions linear in curvatures with even and odd parity.

Bosonic sector reduces to general relativity on a 4-dimensional manifold.

Abstract

Biconformal supergravity models provide a new gauging of the superconformal group relevant to the Maldacena conjecture. Using the group quotient method to biconformally gauge SU(2,2|N), we generate a 16-dim superspace. We write the most general even- and odd-parity actions linear in the curvatures, the bosonic sector of which is known to descend to general relativity on a 4-dim manifold.