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

Hirasawa, Mitsuaki; Αναγνωστόπουλος, Κωνσταντίνος; Azuma, Takehiro; Hatakeyama, Kohta; Ito, Yuta; Nishimura, Jun; Papadoudis, Stratos; Tsuchiya, Asato

doi:10.22323/1.396.0428

“…In this section we present our preliminary results for the bosonic IKKT model (17) with the mass term [8]. We choose the matrix size to be 𝑁 = 32 and set 𝜀 = 0 in (15) for simplicity.…”

Section: Results For the Bosonic Ikkt Model With The Mass Termmentioning

confidence: 99%

“…Moreover, the observed 3D expanding space turned out to be represented by Pauli matrices [15]. The present work is based on the CLM to overcome the sign problem [16], which revealed a new phase with the emergent space-time being continuous instead of having the Pauli-matrix structure [17].…”

Section: A Problem In the Original Ikkt Matrix Modelmentioning

confidence: 91%

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

Nishimura¹

2022

Preprint

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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 model admits the emergence of (3+1)-dimensional space-time associated with the spontaneous breaking of the (9+1)-dimensional Lorentz symmetry. Numerical confirmation of such a phenomenon has been attempted for more than two decades. Recently it has been found that the sign problem, the main obstacle in simulating this model, can be overcome by the complex Langevin method. It has been shown that the Lorenzian version of the model is smoothly connected with the Euclidean version, in which the SO(10) symmetry is found to be spontaneously broken to SO(3). Here we propose to add a Lorentz invariant "mass" term to the original model and discuss a scenario that (3+1)-dimensional expanding space-time with Lorentzian signature appears at late times. Some numerical results supporting this scenario are presented.

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“…In this section we present our preliminary results for the bosonic IKKT model (17) with the mass term [8]. We choose the matrix size to be = 32 and set = 0 in (15) for simplicity.…”

Section: Results For the Bosonic Ikkt Model With The Mass Termmentioning

confidence: 99%

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

Nishimura¹

2022

Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021)

8

0

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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 model admits the emergence of (3+1)-dimensional space-time associated with the spontaneous breaking of the (9+1)-dimensional Lorentz symmetry. Numerical confirmation of such a phenomenon has been attempted for more than two decades. Recently it has been found that the sign problem, the main obstacle in simulating this model, can be overcome by the complex Langevin method. It has been shown that the Lorenzian version of the model is smoothly connected with the Euclidean version, in which the SO(10) symmetry is found to be spontaneously broken to SO(3). Here we propose to add a Lorentz invariant "mass" term to the original model and discuss a scenario that (3+1)-dimensional expanding space-time with Lorentzian signature appears at late times. Some numerical results supporting this scenario are presented.

show abstract

“…Quite recently, we studied a fermion quenched version of the Lorentzian type IIB matrix model without the approximation using the CLM [17,18]. We found that the Lorentzian model is equivalent to the Euclidean one under the Wick rotation as it is [19].…”

Section: Introductionmentioning

confidence: 99%

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

Hirasawa¹,

Αναγνωστόπουλος²,

Azuma³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

3

0

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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 conventional large-𝑁 limit. In this work, we add a Lorentz invariant mass term to the original model and consider a limit, in which the coefficient of the mass term vanishes at large 𝑁. By performing complex Langevin simulations to overcome the sign problem, we observe the emergence of expanding space-time with the Lorentzian signature.

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

Cited by 9 publications

References 21 publications

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

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

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

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

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