The Pfaffian phase in BFSS becomes an O(9) pseudoscalar operator in a bosonic matrix integral, requiring 10-loop order in the high-T expansion before the sign problem is detectable in the 't Hooft regime.
Spontaneous Breakdown of Lorentz Invariance in IIB Matrix Model
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abstract
We study the IIB matrix model, which is conjectured to be a nonperturbative definition of superstring theory, by introducing an integer deformation parameter `nu' which couples to the imaginary part of the effective action induced by fermions. The deformed IIB matrix model continues to be well-defined for arbitrary `nu', and it preserves gauge invariance, Lorentz invariance, and the cluster property. We study the model at `nu' = infinity using a saddle-point analysis, and show that ten-dimensional Lorentz invariance is spontaneously broken at least down to an eight-dimensional one. We argue that it is likely that the remaining eight-dimensional Lorentz invariance is further broken, which can be checked by integrating over the saddle-point configurations using standard Monte Carlo simulation.
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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.
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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An effective field theory approach to the sign problem in BFSS
The Pfaffian phase in BFSS becomes an O(9) pseudoscalar operator in a bosonic matrix integral, requiring 10-loop order in the high-T expansion before the sign problem is detectable in the 't Hooft regime.
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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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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.