Thermal phase structure of dimensionally reduced super-Yang--Mills

Abstract

We present our current results from ongoing lattice investigations of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. We focus on the thermal phase structure of this theory, which depends on both the temperature $T$ and the deformation parameter $μ$, through the dimensionless ratios $T / μ$ and $g = λ/ μ^3$ with $λ$ the 't Hooft coupling. We determine the critical $T / μ$ of the confinement transition for couplings $g$ that span three orders of magnitude, to connect weak-coupling perturbative calculations and large-$N$ dual supergravity predictions in the strong-coupling limit. Analyzing multiple lattice sizes up to $N_τ = 24$ and numbers of colors up to $N = 16$ allows initial checks of the large-$N$ continuum limit.