29 citations · 66 across the 17 of their papers we have counts for
17 papers
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…
Gauge invariant discretization of Chern-Simons couplings
Kohta Hatakeyama, Matsuo Sato, Gota Tanaka
We discretize Chern-Simons couplings in gauge invariant way. We obtain (p+q)-forms representing Chern-Simons couplings on (p + q)-simplexes from wedge products of p- and q-forms on…
Determination of the CP restoration temperature at in 4D SU(2) Yang-Mills theory through simulations at imaginary
Mitsuaki Hirasawa, Kohta Hatakeyama, Masazumi Honda +3
The 't Hooft anomaly matching condition provides constraints on the phase structure at in 4D SU() Yang-Mills theory. In particular, assuming that the theory is confined an…
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…
Numerical studies on the finite-temperature CP restoration in 4D SU(N) gauge theory at
Akira Matsumoto, Kohta Hatakeyama, Mitsuaki Hirasawa +3
Recent studies on the 't Hooft anomaly matching condition have suggested a nontrivial phase structure in 4D SU() gauge theory at . In the large- limit, it has been found…
The emergence of expanding space-time in a novel large- limit of 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 non-perturbative formulation of superstring theory. However, it was found recently 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…
A new phase in the Lorentzian type IIB matrix model and the emergence of continuous space-time
Mitsuaki Hirasawa, Konstantinos Anagnostopoulos, Takehiro Azuma +5
The Lorentzian type IIB matrix model is a promising candidate for a non-perturbative formulation of superstring theory. In previous studies, Monte Carlo calculations provided inter…
Relationship between the Euclidean and Lorentzian versions of the type IIB matrix model
Kohta Hatakeyama, Konstantinos Anagnostopoulos, Takehiro Azuma +5
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…
A new technique for solving the freezing problem in the complex Langevin simulation of 4D SU(2) gauge theory with a theta term
Akira Matsumoto, Kohta Hatakeyama, Mitsuaki Hirasawa +4
We apply the complex Langevin method (CLM) to overcome the sign problem in 4D SU(2) gauge theory with a theta term extending our previous work on the 2D U(1) case. The topology fre…
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…
Renormalization on the fuzzy sphere
Kohta Hatakeyama, Asato Tsuchiya, Kazushi Yamashiro
We study renormalization on the fuzzy sphere, which is a typical example of non-commutative spaces. We numerically simulate a scalar field theory on the fuzzy sphere, which is desc…
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…