The IIB matrix model has been proposed as a non-perturbative definition of super-string theory since 1996. We study a simplified model that describes the late time behavior of the IIB matrix model non-perturbatively using Monte Carlo methods, and we use the complex Langevin method to overcome the sign problem. We investigate a scenario where the space–time signature changes dynamically from Euclidean at early times to Lorentzian at late times.We discuss the possibility of the emergence of the (3+1)D expanding universe.
Hatakeyama, K., Anagnostopoulos, K., Azuma, T., Hirasawa, M., Ito, Y., Nishimura, J., et al. (2022). Complex Langevin studies of the emergent space–time in the type IIB matrix model. In Proceedings of the East Asia Joint Symposium on Fields and Strings 2021 (pp.9-18) [10.1142/9789811261633_0002].
Complex Langevin studies of the emergent space–time in the type IIB matrix model
Mitsuaki Hirasawa;
2022
Abstract
The IIB matrix model has been proposed as a non-perturbative definition of super-string theory since 1996. We study a simplified model that describes the late time behavior of the IIB matrix model non-perturbatively using Monte Carlo methods, and we use the complex Langevin method to overcome the sign problem. We investigate a scenario where the space–time signature changes dynamically from Euclidean at early times to Lorentzian at late times.We discuss the possibility of the emergence of the (3+1)D expanding universe.
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