Comments on thermodynamics of supersymmetric matrix models

TL;DR

This paper discusses the complex spectral structure of supersymmetric matrix models with 16 supercharges, revealing multiple energy scales that explain the nontrivial temperature dependence of the system's internal energy as predicted by AdS duality.

Contribution

It provides new insights into the spectral structure and energy scales of supersymmetric matrix models, clarifying their thermodynamic behavior in the large N limit.

Findings

Identification of two energy scales in the spectrum.

Explanation of the E ~ T^{14/5} energy dependence.

Support for AdS duality predictions.

Abstract

We present arguments that the structure of the spectrum of the supersymmetric matrix model with 16 real supercharges in the large N limit is rather nontrivial, involving besides the natural energy scale ~\lambda^{1/3} = (g^2 N)^{1/3} also a lower scale ~\lambda^{1/3}N^{-5/9}. This allows one to understand a nontrivial behaviour of the mean internal energy of the system, E proportional to T^{14/5}, predicted by AdS duality arguments.