English

Relationship between the Euclidean and Lorentzian versions of the type IIB matrix model

High Energy Physics - Lattice 2022-01-03 v1 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

The type IIB matrix model was proposed as a non-perturbative formulation of superstring theory in 1996. We simulate a model that describes the late time behavior of the IIB matrix model by applying the complex Langevin method to overcome the sign problem. We clarify the relationship between the Euclidean and the Lorentzian versions of the type IIB matrix model in a recently discovered phase. By introducing a constraint, we obtain a model where the spacetime metric is Euclidean at early times, whereas it {\it dynamically} becomes Lorentzian at late times.

Keywords

Cite

@article{arxiv.2112.15368,
  title  = {Relationship between the Euclidean and Lorentzian versions of the type IIB matrix model},
  author = {Kohta Hatakeyama and Konstantinos Anagnostopoulos and Takehiro Azuma and Mitsuaki Hirasawa and Yuta Ito and Jun Nishimura and Stratos Papadoudis and Asato Tsuchiya},
  journal= {arXiv preprint arXiv:2112.15368},
  year   = {2022}
}

Comments

12 pages, 5 figures, presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology