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Monte Carlo Approach to M-Theory

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arxiv hep-th/9803117 v3 pith:YPYQPWWJ submitted 1998-03-13 hep-th hep-lat

Werner Krauth , Hermann Nicolai , Matthias Staudacher This is my paper · ORCID
classification hep-thhep-lat
keywords carlofunctionsmontepartitionagreeapproachcalculationsclosely
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We discuss supersymmetric Yang-Mills theory dimensionally reduced to zero dimensions and evaluate the SU(2) and SU(3) partition functions by Monte Carlo methods. The exactly known SU(2) results are reproduced to very high precision. Our calculations for SU(3) agree closely with an extension of a conjecture due to Green and Gutperle concerning the exact value of the SU(N) partition functions.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the strong coupling limit of Yang-Mills matrix models

    hep-th 2026-07 conditional novelty 7.0 of 10

    In mass-deformed Yang–Mills matrix models, strong-coupling commutativity sets in at or above the critical fermion count N_c = 2(D−2), with the supersymmetric models sitting at the critical boundary where huge-operator...

  2. Bootstrapping Yang-Mills matrix integrals

    hep-th 2025-10 conditional novelty 7.0 of 10

    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.

  3. Einstein gravity from a matrix integral -- Part II

    hep-th 2024-11 conditional novelty 7.0 of 10

    Exact localization results for polarized IKKT reveal a divergence in the Ω to 0 limit that is distinct from IKKT, and the large-N eigenvalue dynamics match the electrostatic problem underlying the dual IIB supergravit...

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