Matrix Models of AdS Gravity

TL;DR

This paper investigates the relationship between AdS supergravity and gauge theory through matrix models, focusing on D-brane bound states and their dual conformal field theories, revealing a novel correspondence akin to 2D gravity models.

Contribution

It proposes a new map linking boundary conformal field theories with bulk supergravity and matter dynamics, inspired by matrix models of 2D gravity.

Findings

Connection established between AdS supergravity and gauge theory via matrix models.

Identification of a boundary-bulk map resembling 2D gravity matrix models.

Insights into D-brane bound states and their conformal field theory descriptions.

Abstract

We explore the connection between anti-deSitter supergravity and gauge theory, in the context of bound states of many D1 and D5 branes. The near-horizon $AdS_3$ supergravity describes the identity sector of the conformal field theory produced by the brane dynamics. A variant of anomaly inflow (for the 2d conformal anomaly) is involved. Dynamical matter fields on $AdS_3$ couple to the chiral ring and its descendant fields on the branes. We propose a map between boundary conformal field theory and bulk supergravity/matter dynamics, which is strongly reminiscent of matrix models of 2d gravity.