The Supergravity Dual of the BMN Matrix Model

TL;DR

This paper constructs type IIA supergravity solutions that are dual to the 1/2 BPS vacua of the BMN matrix model, using brane polarization and fluxes to encode deformations and preserving supersymmetry.

Contribution

It introduces explicit supergravity dual solutions for the BMN matrix model's vacua, incorporating brane polarization and fluxes, extending the gauge/gravity correspondence.

Findings

Solutions involve concentric shells of D2 or NS5 branes with D0 charge.

Fluxes correspond to mass and Myers term deformations in the matrix model.

Solutions preserve 16 supersymmetries.

Abstract

We propose type IIA supergravity solutions dual to the 1/2 BPS vacua of the BMN matrix model. These dual solutions are analyzed using the Polchinski-Strassler method and have brane configurations of concentric shells of D2 branes (or NS5 branes) with various radii and D0 charge. These branes can be viewed as polarized from $N$ D0 branes by a transverse R-R magnetic 6-form flux and an NS-NS 3-form flux. In the region far from branes, the solutions reduce to perturbation around the near horizon geometry of $N$ D0 branes, by turning on these R-R and NS-NS fluxes, which are dual to the deformation of the BFSS matrix model by adding mass terms and the Myers term. The solutions with these additional fluxes preserve 16 supersymmetries. We also briefly discuss these fluxes in the possible supergravity duals of M(atrix) theories on less supersymmetric plane-waves.