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/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.