Thermal phase structure of a supersymmetric matrix model

Abstract

We present initial results from ongoing lattice investigations into the thermal phase structure of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. The phase diagram of the theory depends on both the temperature $T$ and the deformation parameter $\mu$, through the dimensionless ratios $T/\mu$ and $g\equiv \lambda /{\mu }^3$ with $\lambda$ the 't Hooft coupling. Considering couplings $g$ that span three orders of magnitude, we reproduce the weak-coupling perturbative prediction for the deconfinement $T/\mu$ and approach recent large-$N$ dual supergravity analyses in the strong-coupling limit. We are carrying out calculations with lattice sizes up to $N_{\tau }=24$ and numbers of colors up to $N=16$, to allow initial checks of the large-$N$ continuum limit.

arXiv commentContribution to the proceedings of Lattice 2019, June 16--22, Wuhan, China

References in corpus (12)

• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Extracting black hole physics from the lattice
• Thermodynamics of the BMN matrix model at strong coupling
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• First Results from Lattice Simulation of the PWMM
• Five-Brane Thermodynamics from the Matrix Model
• Free Energy and Phase Transition of the Matrix Model on a Plane-Wave
• Two-Loop Partition Function in the Planar Plane-Wave Matrix Model
• Progress and prospects of lattice supersymmetry
• Recent progress in lattice supersymmetry: from lattice gauge theory to black holes

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• Partial Deconfinement at Strong Coupling on the Lattice
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Witten index of BMN matrix quantum mechanics
• Emergent Geometries from the BMN Matrix Model