Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model

Abstract

The Lorentzian type IIB matrix model has been studied as a promising candidate for a nonperturbative formulation of superstring theory. In particular, the emergence of (3+1)D expanding space-time was observed by Monte Carlo studies of this model. It has been found recently, however, that the matrix configurations generated by the simulation is singular in that the submatrices representing the expanding 3D space have only two large eigenvalues associated with the Pauli matrices. This problem has been attributed to the approximation used to avoid the sign problem in simulating the model. Here we investigate the model using the complex Langevin method to overcome the sign problem instead of using the approximation. Our results indicate a clear departure from the Pauli-matrix structure, while the (3+1)D expanding behavior is kept intact.

17 pages, 3 figures; (v2) reference added; (v3) typos corrected, footnote added, version published in JHEP

References in corpus (3)

• The complex Langevin analysis of spontaneous symmetry breaking induced by complex fermion determinant
• Spontaneous breaking of the rotational symmetry in dimensionally reduced super Yang-Mills models
• Fuzzy $C{P}^2$ Space-Times

Cited by in corpus (5)

• One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model
• Complex Langevin analysis of 2D U(1) gauge theory on a torus with a $\theta$ term
• Monte Carlo Simulations of BFSS and IKKT Matrix Models
• Dynamical compactification of extra dimensions in the Euclidean type IIB matrix model: A numerical study using the complex Langevin method
• Dynamical Compactification of Extra Dimensions in the Euclidean IKKT Matrix Model via Spontaneous Symmetry Breaking