The Supergravity Dual of the BMN Matrix Model

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.

33 pages, LaTex

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• Fivebranes from gauge theory
• Thermodynamics of the BMN matrix model at strong coupling
• BMN Vacua, Superstars and Non-Abelian T-duality
• Differential Cohomotopy implies intersecting brane observables via configuration spaces and chord diagrams
• Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?
• Emergent bubbling geometries in the plane wave matrix model
• Instantons, supersymmetric vacua, and emergent geometries
• Matrix model holography
• New BPS Configurations of BMN Matrix Theory
• Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS${}_5\times$S${}^5$
• On Toda Equation and Half BPS Supergravity Solution in M-Theory
• On black hole thermodynamics from super Yang-Mills
• Fuzzy Black Holes from Mass Generation in Matrix Compactification