A finite-dimensional regularized master field that minimizes residual loop equations reproduces exact Euclidean and perturbative Minkowski results for one- and two-matrix models.
The polarised IKKT matrix model
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IKKT RG flow via Coulomb branch integration and BZJ flow reproduces the N-dependence of the axio-dilaton in IIB supergravity for D-instantons.
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.
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 IIB worldsheet integral.
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.
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.
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.
citing papers explorer
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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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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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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 IIB worldsheet integral.
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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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Multi-Matrix Quantum Mechanics, Collective Fields and Emergent Space
Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.
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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.