A new phase in the Lorentzian type IIB matrix model and the emergence of continuous space-time

@article{Hirasawa2021ANP,
  title={A new phase in the Lorentzian type IIB matrix model and the emergence of continuous space-time},
  author={Mitsuaki Hirasawa and Konstantinos N. Anagnostopoulos and Takehiro Azuma and Kohta Hatakeyama and Yuta Ito and Jun Nishimura and Stratos Kovalkov Papadoudis and Asato Tsuchiya},
  journal={Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)},
  year={2021}
}
Mitsuaki Hirasawa, Konstantinos N. Anagnostopoulos, Takehiro Azuma, Kohta Hatakeyama, Yuta Ito, Jun Nishimura, Stratos Kovalkov Papadoudis and Asato Tsuchiya 5 KEK Theory Center, High Energy Accelerator Research Organization, 1-1 Oho, Tsukuba, Ibaraki 305-0801, Japan Physics Department, School of Applied Mathematical and Physical Sciences, National Technical University, Zografou Campus, GR-15780 Athens, Greece Institute for Fundamental Sciences, Setsunan University, 17-8 Ikeda Nakamachi… 

Figures from this paper

Signature change of the emergent space-time in the IKKT matrix model

The IKKT matrix model (or the type IIB matrix model) is known as a promising candidate for a nonperturbative formulation of superstring theory in ten dimensions. As a most attractive feature, the

The emergence of expanding space-time in a novel large-$N$ limit of the Lorentzian type IIB matrix model

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 appears in the

Complex Langevin studies of the emergent space–time in the type IIB matrix model

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 type IIB matrix

Emergent metric space-time from matrix theory

The IKKT matrix model yields an emergent space-time. We further develop these ideas and give a proposal for an emergent metric. Based on previous numerical studies of this model, we provide evidence

Spontaneous symmetry breaking in the BFSS model: Analytical results using the Gaussian expansion method

We apply the Gaussian expansion method to the BFSS matrix model in the high temperature limit. When the (Euclidean) BFSS action is expanded about a Gaussian ansatz, it is shown that the SO(9)

BFSS Matrix Model Cosmology: Progress and Challenges

We review a proposal to obtain an emergent metric space-time and an emergent early universe cosmology from the Banks–Fischler–Shenker–Susskind (BFSS) matrix model. Some challenges and directions for

References

SHOWING 1-10 OF 40 REFERENCES

Relationship between the Euclidean and Lorentzian versions of the type IIB matrix model

Kohta Hatakeyama,0,∗ Konstantinos Anagnostopoulos, Takehiro Azuma, Mitsuaki Hirasawa , Yuta Ito, Jun Nishimura, Stratos Papadoudis and Asato Tsuchiya 5 Theory Center, Institute of Particle and

Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model

A bstractThe Lorentzian type IIB matrix model has been studied as a promising candidate for a nonperturbative formulation of superstring theory. In particular, the emergence of (3+1)D expanding

A renormalization group method for studying the early universe in the Lorentzian IIB matrix model

We propose a new method for studying the early universe in the Lorentzian version of the IIB matrix model, which is considered to be a nonperturbative formulation of superstring theory. This method

The emergence of expanding space–time and intersecting D-branes from classical solutions in the Lorentzian type IIB matrix model

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 at the same time.

On the structure of the emergent 3D expanding space in the Lorentzian type IIB matrix model

The emergence of (3+1)D expanding space-time in the Lorentzian type IIB matrix model is an intriguing phenomenon that has been observed in Monte Carlo studies of this model. In particular, this may

Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model

The IKKT matrix model is a promising candidate for a nonperturbative formulation of superstring theory. In this model, spacetime is conjectured to emerge dynamically from the microscopic matrix

Systematic study of the SO(10) symmetry breaking vacua in the matrix model for type IIB superstrings

We study the properties of the space-time that emerges dynamically from the matrix model for type IIB superstrings in ten dimensions. We calculate the free energy and the extent of space-time using

Large-scale computation of the exponentially expanding universe in a simplified Lorentzian type IIB matrix model

The type IIB matrix model is a conjectured nonperturbative formulation of superstring theory. Recent studies on the Lorentzian version of the model have shown that only three out of nine spatial

Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models

A bstractIn recent years the complex Langevin method (CLM) has proven a powerful method in studying statistical systems which suffer from the sign problem. Here we show that it can also be applied to

Higher Order Terms in the Improved Mean Field Approximation for the IIB Matrix Model and the Emergence of Four-Dimensional Space-Time

The spontaneous breakdown of SO(10) symmetry in the IIB matrix model has been studied using the improved mean field approximation (IMFA). In this report, the eighth-order contribution to the improved