Confinement/deconfinement transition in the D0-brane matrix model — A signature of M-theory?
We study the confinement/deconfinement transition in the D0-brane matrix model (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 seems 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. This talk is based on the paper arXiv:2110.01312. In addition, the connection between string theory and M-theory in the context of the BFSS matrix model will be overviewed.