29 citations · 66 across the 17 of their papers we have counts for
9 papers · 1 filter
Mutation and crossover of simplicial complexes
Boyu Li, Kohta Hatakeyama, Matsuo Sato +2
Color graphs and their subgraphs, referred to as bubble graphs, correspond bijectively to the simplicial complexes of pseudomanifolds and their subsimplices, respectively. In this…
The effects of SUSY on the emergent spacetime in the Lorentzian type IIB matrix model
Mitsuaki Hirasawa, Konstantinos N. Anagnostopoulos, Takehiro Azuma +4
The Lorentzian type IIB matrix model is a promising candidate for a nonperturbative formulation of superstring theory. Recently we performed complex Langevin simulations by adding…
The emergence of expanding space-time in the Lorentzian type IIB matrix model with a novel regularization
Mitsuaki Hirasawa, Konstantinos N. Anagnostopoulos, Takehiro Azuma +4
The Lorentzian type IIB matrix model is a promising candidate for a non-perturbative formulation of superstring theory. However, it was recently found that a Euclidean space-time a…
Progress in the numerical studies of the type IIB matrix model
Konstantinos N. Anagnostopoulos, Takehiro Azuma, Kohta Hatakeyama +5
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…
Complex Langevin studies of the emergent space-time in the type IIB matrix model
Kohta Hatakeyama, Konstantinos Anagnostopoulos, Takehiro Azuma +5
The type 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 emergence of expanding space-time and intersecting D-branes from classical solutions in the Lorentzian type IIB matrix model
Kohta Hatakeyama, Akira Matsumoto, Jun Nishimura +2
The type IIB matrix model is a promising candidate for a nonperturbative formulation of superstring theory. As such, it is expected to explain the origin of space--time and matter…
Equivalence of large- gauge theories on a group manifold and its coset space
Kohta Hatakeyama, Asato Tsuchiya
It was shown in arXiv:0912.1456 that the large- reduction holds on group manifolds in the sense that a large- gauge theory on a group manifold is realized by a matrix model w…
Renormalization on the fuzzy sphere
Kohta Hatakeyama, Asato Tsuchiya, Kazushi Yamashiro
We study renormalization on the fuzzy sphere. We numerically simulate a scalar field theory on it, which is described by a Hermitian matrix model. We show that correlation function…
Correlation functions and renormalization in a scalar field theory on the fuzzy sphere
Kohta Hatakeyama, Asato Tsuchiya
We study renormalization in a scalar field theory on the fuzzy sphere. The theory is realized by a matrix model, where the matrix size plays the role of a UV cutoff. We define corr…