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

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.

arXiv comment50 pages, 33 figures, appendix with 5 sections. Data available upon request. Version published on JHEP

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Cited by in corpus (15)

• Bootstrap bounds on D0-brane quantum mechanics
• Precision test of gauge/gravity duality in D0-brane matrix model at low temperature
• Lattice studies of supersymmetric gauge theories
• Quantum chaos in supersymmetric quantum mechanics: an exact diagonalization study
• Matrix Entanglement
• Thermal phase structure of dimensionally reduced super-Yang--Mills
• Partial deconfinement: a brief overview
• Statistical Physics of the Polarised IKKT Matrix Model
• Lattice perturbation theory for the null cusp string
• Witten index of BMN matrix quantum mechanics
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Nonperturbative test of the Maldacena-Milekhin conjecture for the BMN matrix model
• The Low Energy Limit of BFSS Quantum Mechanics
• A Charge Constraint in BMN
• Non-perturbative phase structure of the bosonic BMN matrix model