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Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?

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arxiv 2110.01312 v2 pith:O6LCM4MN submitted 2021-10-04 hep-th hep-lat

classification hep-thhep-lat
keywords m-theorymatrixmodeld0-branetransitionbfsscarloconfinement
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the confinement/deconfinement transition in the D0-brane matrix model (often called the BFSS matrix model) and its one-parameter deformation (the BMN matrix model) numerically by lattice Monte Carlo simulations. Our results confirm general expectations from the dual string/M-theory picture for strong coupling. In particular, we observe the confined phase in the BFSS matrix model, which is a nontrivial consequence of the M-theory picture. We suggest that these models provide us with an ideal framework to study the Schwarzschild black hole, M-theory, and furthermore, the parameter region of the phase transition between type IIA superstring theory and M-theory. A detailed study of M-theory via lattice Monte Carlo simulations of the D0-brane matrix model might be doable with much smaller computational resources than previously expected.

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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. Finite-temperature phase diagram of the BMN matrix model on the lattice

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Non-perturbative lattice calculations determine the BMN deconfinement temperature from the perturbative to the holographic regime, with evidence that the transition becomes continuous at weak coupling.

  3. Simulating matrix models with tensor networks

    hep-th 2024-12 conditional novelty 6.0 of 10

    Tensor-network DMRG simulations of SU(2) and small-SU(N) bosonic and supersymmetric matrix models give convergent ground states and entanglement measures, with costs that appear to grow polynomially with the number of...

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