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 $\hat{I}¼$, through the dimensionless ratios $T/\hat{I}¼$ and $g=\hat{I}»/\hat{I}{¼}^3$ with $\hat{I}»$ the 't Hooft coupling. We determine the critical $T/\hat{I}¼$ 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 $N_{\ddot{I}}„=24$ and numbers of colors up to $N=16$ allows initial checks of the large-$N$ continuum limit.

Contribution to the proceedings of Lattice 2021, July 26--30, MIT