# 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

Jan 2021

### 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.

###### Research Scientist

My research interests include artificial intelligence and quantum computing applied to particle physics and quantum many-body systems.