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arXiv · 2110.01312

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

Georg Bergner·Norbert Bodendorfer·Masanori Hanada·Stratos Pateloudis·Enrico Rinaldi·Andreas Schäfer·Pavlos Vranas·Hiromasa Watanabe
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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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Georg Bergner, Norbert Bodendorfer, Masanori Hanada, Stratos Pateloudis, Enrico Rinaldi, Andreas Schäfer, Pavlos Vranas, Hiromasa Watanabe. 2022-05-18. Confinement/deconfinement transition in the D0-brane matrix model -- A signature of M-theory?. https://doi.org/10.1007/jhep05(2022)096

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