Comments on the Thermodynamics of Little String Theory

Abstract

We study the high energy thermodynamics of Little String Theory, using its holographic description. This leads to the entropy-energy relation $S={\beta }_{H}E+\alpha \log E+O(1/E)$. We compute $\alpha$ and show that it is negative; as a consequence, the high energy thermodynamics is unstable. We exhibit a mode localized near the horizon of the black brane, which has winding number one around Euclidean time and a mass that vanishes at large $E$ (or $\beta \to {\beta }_H$). We argue that the high temperature phase of the theory involves condensation of this mode.

20 pages, harvmac

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