Little string theory cannot be put on negatively curved spacetimes, only on flat or positively curved ones, and on spheres its Hagedorn spectrum receives a universal classical correction.
Little String Thermodynamics
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abstract
We argue that the holographic dual to little string theories at finite temperature suffers from a Gregory-Laflamme like instability, providing an alternative explanation to the results of hep-th/0012258.
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Little String Theories on Curved Manifolds
Little string theory cannot be put on negatively curved spacetimes, only on flat or positively curved ones, and on spheres its Hagedorn spectrum receives a universal classical correction.