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The Supergravity Dual of the BMN Matrix Model

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arxiv hep-th/0407250 v2 pith:VWWMNO4M submitted 2004-07-29 hep-th

classification hep-th
keywords branesdualsolutionsfluxesmatrixmodelsupergravityflux
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Krylov Complexity for Plane Wave Matrix Model

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    In reduced BMN matrix models, Lanczos coefficients scale linearly with the mass parameter, producing quadratic corrections to early-time Krylov complexity growth at the same order for both state and operator versions.

  2. Fuzzy Black Holes from Mass Generation in Matrix Compactification

    hep-th 2025-11 conditional novelty 6.0 of 10

    Compactifying BFSS on T^3 with mixed fermion boundary conditions yields a mass-deformed theory whose fuzzy-sphere plus fermion configurations are proposed as Schwarzschild black holes with entropy S∼N.

  3. Simulating matrix models with tensor networks

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...

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