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

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 / μ³ 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 Nτ = 24 and numbers of colors up to $N = 16$ allows initial checks of the large-N continuum limit.