Progress in the numerical studies of the type IIB matrix model

Autor: Anagnostopoulos, Konstantinos N., Azuma, Takehiro, Hatakeyama, Kohta, Hirasawa, Mitsuaki, Ito, Yuta, Nishimura, Jun, Papadoudis, Stratos Kovalkov, Tsuchiya, Asato
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1140/epjs/s11734-023-00849-x
Popis: The type IIB matrix model, also known as the IKKT model, has been proposed as a promising candidate for a non-perturbative formulation of superstring theory. Based on this proposal, various attempts have been made to explain how our four-dimensional space-time can emerge dynamically from superstring theory. In this article, we review the progress in numerical studies on the type IIB matrix model. We particularly focus on the most recent results for the Euclidean and Lorentzian versions, which are obtained using the complex Langevin method to overcome the sign problem. We also review the earlier results obtained using conventional Monte Carlo methods and clarify the relationship among different calculations.
Comment: 23 pages, contribution to the EPJ ST Special Issue: Noncommutativity and Physics, see https://www.epj.org/open-calls-for-papers/85-epj-st/2280-epjst-special-issue-noncommutativity-and-physics
Databáze: arXiv