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Progress in the numerical studies of the type IIB matrix model

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arxiv 2210.17537 v2 pith:PMR2I73M submitted 2022-10-31 hep-th

Konstantinos N. Anagnostopoulos (1) , Takehiro Azuma (2) , Kohta Hatakeyama (3) , Mitsuaki Hirasawa (4) , Yuta Ito (5) , Jun Nishimura (3 , 6) , Stratos Kovalkov Papadoudis (1)
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Asato Tsuchiya (7) ((1) Physics Department School of Applied Mathematical Physical Sciences National Technical University of Athens (2) Institute for Fundamental Sciences Setsunan University (3) Theory Center Institute of Particle Nuclear Studies High Energy Accelerator Research Organization (KEK) (4) Sezione di Milano-Bicocca Istituto Nazionale di Fisica Nucleare (INFN) (5) National Institute of Technology Tokuyama College (6) Department of Particle Nuclear Physics School of High Energy Accelerator Science Graduate University for Advanced Studies (SOKENDAI) (7) Department of Physics Shizuoka University)
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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, various attempts have been made to explain how our four-dimensional space-time can emerge dynamically from superstring theory. In this article, we review the progress in numerical studies on the type IIB matrix model. We particularly focus on the most recent results for the Euclidean and Lorentzian versions, which are obtained using the complex Langevin method to overcome the sign problem. We also review the earlier results obtained using conventional Monte Carlo methods and clarify the relationship among different calculations.

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Cited by 4 Pith papers

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  1. Bootstrapping Yang-Mills matrix integrals

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    Bootstrap bounds on ⟨tr XX⟩ and ⟨tr XXXX⟩ in D-matrix Yang-Mills integrals shrink to islands matching Monte Carlo, with large-D trajectories guiding a positivity-free ansatz.

  2. Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy $S^7$ and Beyond

    hep-th 2026-08 conditional novelty 6.0 of 10

    A weak matrix regularization of any single-Casimir level set of a compact semisimple Lie algebra is built from reducible representations whose coadjoint orbits densely fill the variety, with fuzzy S^7 worked out explicitly.

  3. Twisting BFSS & IKKT

    hep-th 2026-02 conditional novelty 6.0 of 10

    The minimal supersymmetric twists of the IKKT and BFSS matrix models are computed in BV-BRST cohomology and matched, in the planar limit, to BCOV-type twisted IIB and IIA supergravity; the non-minimal twists are local...

  4. Fuzzy Black Holes from Mass Generation in Matrix Compactification

    hep-th 2025-11 conditional novelty 6.0 of 10

    Compactifying BFSS on T^3 with mixed fermion boundary conditions yields a mass-deformed theory whose fuzzy-sphere plus fermion configurations are proposed as Schwarzschild black holes with entropy S∼N.

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