Comments on the Thermodynamics of Little String Theory

We study the high energy thermodynamics of Little String Theory, using its holographic description. This leads to the entropy-energy relation $S=β_H E+α\log E+O(1/E)$. We compute $α$ 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 $β\toβ_H$). We argue that the high temperature phase of the theory involves condensation of this mode.

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