arXiv subjects

Naoyuki Yamamori

Publications and source records attributed to Naoyuki Yamamori.

2 recordsLinked to original sources

arXiv2026

Impact of supersymmetry on the dynamical emergence of the spacetime in the type IIB matrix model with the Lorentz symmetry "gauge fixed"

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.

hep-lat↗

arXiv2025

Defining the type IIB matrix model without breaking Lorentz symmetry

The type IIB matrix model is a promising nonperturbative formulation of superstring theory, which may elucidate the emergence of (3+1)-dimensional space-time. However, the partition function is divergent due to the Lorentz symmetry, which is represented by a noncompact group. This divergence has been regularized conventionally by introducing some infrared cutoff, which breaks the Lorentz symmetry. Here we point out that Lorentz invariant observables become classical as one removes the infrared cutoff and that this "classicalization" is actually an artifact of the Lorentz symmetry breaking cutoff. In order to overcome this problem, we propose a natural way to "gauge-fix" the Lorentz symmetry in a fully nonperturbative manner. This also enables us to perform numerical simulations in such a way that the time-evolution can be extracted directly from the matrix configurations.

hep-th↗