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