Thermal phase structure of a supersymmetric matrix model

Abstract

We present initial results from ongoing lattice investigations into the thermal phase structure of the Berenstein--Maldacena--Nastase deformation of maximally supersymmetric Yang--Mills quantum mechanics. The phase diagram of the theory depends on both the temperature $T$ and the deformation parameter $\hat{I}¼$, through the dimensionless ratios $T/\hat{I}¼$ and $g\equiv \hat{I}»/\hat{I}{¼}^3$ with $\hat{I}»$ the 't Hooft coupling. Considering couplings $g$ that span three orders of magnitude, we reproduce the weak-coupling perturbative prediction for the deconfinement $T/\hat{I}¼$ and approach recent large-$N$ dual supergravity analyses in the strong-coupling limit. We are carrying out calculations with lattice sizes up to $N_{\ddot{I}}„=24$ and numbers of colors up to $N=16$, to allow initial checks of the large-$N$ continuum limit.

Contribution to the proceedings of Lattice 2019, June 16--22, Wuhan, China