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Einstein gravity from a matrix integral -- Part I
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Einstein gravity from a matrix integral -- Part I
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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.
Forward citations
Cited by 10 Pith papers
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From Matrix Models to Gaussian Molecules and the Einstein-Hilbert Action
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.
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A finite-dimensional regularized master field that minimizes residual loop equations reproduces exact Euclidean and perturbative Minkowski results for one- and two-matrix models.
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A finite-dimensional regularization of the master field enables direct numerical computation of large-N matrix models in both Euclidean and Minkowski signatures while reproducing known solutions in simple test cases.
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The IKKT renormalization group flow is IIB: toward zero-d holography
IKKT RG flow via Coulomb branch integration and BZJ flow reproduces the N-dependence of the axio-dilaton in IIB supergravity for D-instantons.
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Description of curved spacetimes by finite-size matrices in the type IIB matrix model
A regularization technique based on Berezin-Toeplitz quantization is introduced to represent curved spacetimes such as tori and the two-sphere with finite matrices in the type IIB matrix model.
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Regularized Master-Field Approximation for Large-$N$ Reduced Matrix Models
A regularized finite-dimensional master field numerically solves large-N reduced matrix models, reproducing exact Euclidean solutions and perturbative Minkowski results for one- and two-matrix cases.
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Path integral for the closed superstring and the matrix model
Derives Minkowskian Nambu-Goto path integral for critical closed strings, proves equivalences to Polyakov and Schild forms, and obtains a causality-preserving Minkowski IKKT matrix model via regularization of the type...
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The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations
Complex Langevin simulations of the deformed Lorentzian type IIB matrix model show emergence of smooth (3+1)-dimensional expanding spacetime with real space and time.
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From Matrix Models to Gaussian Molecules and the Einstein-Hilbert Action
The free energy of a D-dimensional matrix model on a curved background is the Einstein-Hilbert action with cosmological constant, where the constants are expectation values of graph invariants from ribbon graphs.
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Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling
In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.
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