Matrix Model Maps and Reconstruction of AdS SUGRA Interactions

TL;DR

This paper develops a method to reconstruct cubic supergravity interactions in AdS/CFT using matrix model maps, extending known linearized maps to include interactions via Ward identities, highlighting off-shell interaction significance.

Contribution

It introduces a novel approach to determine AdS SUGRA interactions from matrix model maps and Ward identities, extending previous linearized methods to the interacting level.

Findings

Successfully reconstructs cubic SUGRA interactions in AdS/CFT

Extends matrix model maps to include interactions

Highlights importance of off-shell interactions in the reconstruction

Abstract

We consider the question of reconstructing (cubic) SUGRA interactions in AdS/CFT. The method we introduce is based on the matrix model maps (MMP) which were previously successfully employed at the linearized level. The strategy is to start with the map for 1/2 BPS configurations which is exactly known (to all orders) in the hamiltonian framework. We then use the extension of the matrix model map with the corresponding Ward identities to completely specify the interaction. A central point in this construction is the non-vanishing of off-shell interactions (even for highest-weight states).