A finite-dimensional regularized master field that minimizes residual loop equations reproduces exact Euclidean and perturbative Minkowski results for one- and two-matrix models.
Inequivalence between the Euclidean and Lorentzian Versions of the Type IIB Matrix Model from Lefschetz Thimble Calculations,
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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.
Numerical investigation of supersymmetry's role in spacetime emergence within the Lorentz gauge-fixed type IIB matrix model using Complex Langevin dynamics.
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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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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Impact of supersymmetry on the dynamical emergence of the spacetime in the type IIB matrix model with the Lorentz symmetry "gauge fixed"
Numerical investigation of supersymmetry's role in spacetime emergence within the Lorentz gauge-fixed type IIB matrix model using Complex Langevin dynamics.