Backreacted D0/D4 background

TL;DR

This paper constructs a supergravity background for a D0/D4-brane system, providing both perturbative and non-perturbative solutions, and explores its holographic dual to a matrix model in the Veneziano limit.

Contribution

It introduces a novel backreacted D0/D4-brane background with a spherical shell configuration, including analytical perturbative and numerical non-perturbative solutions.

Findings

Analytical solution at first order in N_f/N_c

Numerical non-perturbative solution obtained

Restoration of symmetry by distributing D4-branes on a shell

Abstract

We construct a supergravity background corresponding to a backreacted D0/D4-brane system. The background is holographically dual to the Venecianno limit of the Berkoos-Douglas matrix model. It is known that the localized D0/D4 system is unstable when the D0-branes are within the D4-branes. To circumvent this difficulty we separate the D4s from the D0s, which are placed at the origin, and restore the symmetry of the combined system by distributing the D4-branes on a spherical shell around the D0-branes. The backreacted solution is first obtained perturbatively in N_f/N_c and displayed analytically to 1st order. A non-perturbative numerical solution is then presented.