Abstract
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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Monte Carlo String/M-theory collaboration (MCSMC)., Bergner, G., Bodendorfer, N. et al. Confinement/deconfinement transition in the D0-brane matrix model — A signature of M-theory?. J. High Energ. Phys. 2022, 96 (2022). https://doi.org/10.1007/JHEP05(2022)096
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DOI: https://doi.org/10.1007/JHEP05(2022)096