Comments on thermodynamics of supersymmetric matrix models

preprint2008arXivOpen access

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 ~λ^{1/3} = (g^2 N)^{1/3} also a lower scale ~λ^{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.

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