Complex Langevin studies of the emergent space--time in the type IIB matrix model

Authors:
  • KHKohta Hatakeyama
    Kohta Hatakeyama
  • KAKonstantinos Anagnostopoulos
    Konstantinos Anagnostopoulos
  • TATakehiro Azuma
    Takehiro Azuma
  • MHMitsuaki Hirasawa
    Mitsuaki Hirasawa
  • YIYuta Ito
    Yuta Ito
  • JNJun Nishimura
    Jun Nishimura
  • SPStratos Papadoudis
    Stratos Papadoudis
  • ATAsato Tsuchiya
    Asato Tsuchiya

Abstract
The IIB matrix model has been proposed as a non-perturbative definition of superstring 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 Lorentzia at late times. We discuss the possibility of the emergence of the (3+1)D expanding universe.