Impact of supersymmetry on the dynamical emergence of the spacetime in the type IIB matrix model with the Lorentz symmetry "gauge fixed"
Konstantinos N. Anagnostopoulos, Takehiro Azuma, Mitsuaki Hirasawa, Jun Nishimura, Asato Tsuchiya + 1 more
TLDR
This paper uses Complex Langevin and Faddeev-Popov methods to study supersymmetry's impact on spacetime emergence in the type IIB matrix model.
Key contributions
- Applies Complex Langevin Method to overcome the sign problem in Type IIB matrix model simulations.
- Introduces nonperturbative Lorentz symmetry fixing via Faddeev-Popov to reduce numerical artifacts.
- Investigates supersymmetry's impact on the dynamical emergence of (3+1)-dimensional spacetime.
Why it matters
This paper tackles key computational challenges in simulating the Type IIB matrix model, including the sign problem and Lorentz boost artifacts. It offers a novel framework to numerically investigate the nonperturbative emergence of spacetime and the role of supersymmetry in superstring theory.
Original Abstract
The type IIB matrix model has been proposed as a nonperturbative formulation of superstring theory. While numerical simulations of this model are essential for probing nonperturbative effects, such as the emergence of time and an expanding 3--dimensional space, they are hindered by the sign problem. We address this using the Complex Langevin Method (CLM). Furthermore, to suppress spurious numerical artifacts that originate from large Lorentz boosts due to the Lorentz symmetry of the model, we nonperturbatively fix the Lorentz symmetry using the Faddeev--Popov procedure. We then study this model to investigate the impact of supersymmetry on the dynamical generation of (3+1)--dimensional spacetime.
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