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Einstein gravity from a matrix integral -- Part I

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arxiv 2410.18173 v4 pith:4YBBTLR7 submitted 2024-10-23 hep-th

Shota Komatsu , Adrien Martina , João Penedones , Antoine Vuignier , Xiang Zhao This is my paper · ORCID
classification hep-th
keywords matrixmodelsolutionssupergravitybackreactedconstructcorrespondencedeformation
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abstract

We construct backreacted geometries dual to the supersymmetric mass deformation of the IKKT matrix model. They are Euclidean type IIB supergravity solutions given in terms of an electrostatic potential, having $SO(7)\times SO(3)$ isometry and 16 supersymmetries. Quantizing the fluxes, we find that the supergravity solutions are in one-to-one correspondence with fuzzy sphere vacua of the matrix model.

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Cited by 7 Pith papers

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

  1. From Matrix Models to Gaussian Molecules and the Einstein-Hilbert Action

    hep-th 2026-04 unverdicted novelty 7.5 of 10

    The free energy of a D-dimensional matrix model with Gaussian heat-kernel propagator equals the Einstein-Hilbert action with cosmological constant, constants fixed by graph invariants of ribbon graphs.

  2. Derivation of the NS5-brane limit of the plane wave matrix model

    hep-th 2026-07 accept novelty 7.0 of 10

    A double-scaling limit of the BMN/plane-wave matrix model is derived analytically and produces an eigenvalue integral for the 1/4-BPS sector of IIA little string theory on R×S⁵.

  3. On the strong coupling limit of Yang-Mills matrix models

    hep-th 2026-07 conditional novelty 7.0 of 10

    In mass-deformed Yang–Mills matrix models, strong-coupling commutativity sets in at or above the critical fermion count N_c = 2(D−2), with the supersymmetric models sitting at the critical boundary where huge-operator...

  4. Bootstrapping Yang-Mills matrix integrals

    hep-th 2025-10 conditional novelty 7.0 of 10

    Bootstrap bounds on ⟨tr XX⟩ and ⟨tr XXXX⟩ in D-matrix Yang-Mills integrals shrink to islands matching Monte Carlo, with large-D trajectories guiding a positivity-free ansatz.

  5. Twisting BFSS & IKKT

    hep-th 2026-02 conditional novelty 6.0 of 10

    The minimal supersymmetric twists of the IKKT and BFSS matrix models are computed in BV-BRST cohomology and matched, in the planar limit, to BCOV-type twisted IIB and IIA supergravity; the non-minimal twists are local...

  6. 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.

  7. Minimal covariant quantum space-time

    hep-th 2025-02 conditional novelty 6.0 of 10

    The minimal covariant quantum space-time M^{1,3}_0 is shown to be a quantized twistor space, an S2 bundle over a k=-1 FLRW space-time, with localized quasi-coherent states.

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