Thermodynamics of the BMN matrix model at strong coupling

Abstract

We construct the black hole geometry dual to the deconfined phase of the BMN matrix model at strong 't Hooft coupling. We approach this solution from the limit of large temperature where it is approximately that of the non-extremal D0-brane geometry with a spherical $S^8$ horizon. This geometry preserves the $SO(9)$ symmetry of the matrix model trivial vacuum. As the temperature decreases the horizon becomes deformed and breaks the $SO(9)$ to the $SO(6)\times SO(3)$ symmetry of the matrix model. When the black hole free energy crosses zero the system undergoes a phase transition to the confined phase described by a Lin-Maldacena geometry. We determine this critical temperature, whose computation is also within reach of Monte Carlo simulations of the matrix model.

28+7 pages, 9 figures

References in corpus (9)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• First Results from Lattice Simulation of the PWMM
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• Little String Theory from a Double-Scaled Matrix Model
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Cited by in corpus (10)

• Bootstrap bounds on D0-brane quantum mechanics
• Exploring new variational quantum circuit ansatzes for solving $SU(2)$ matrix models
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Witten index of BMN matrix quantum mechanics
• Moduli dynamics as a predictive tool for thermal maximally supersymmetric Yang-Mills at large N
• A Charge Constraint in BMN
• Simulations of Bosonic BMN Matrix Model
• The Low Energy Limit of BFSS Quantum Mechanics
• Emergent Geometries from the BMN Matrix Model
• Non-perturbative phase structure of the bosonic BMN matrix model