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.
On the thermodynamic instability of LST
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abstract
The high energy thermodynamics of Little String Theory (LST) is known to be unstable. An unresolved question is whether the corresponding instability in LST holographic dual is of stringy or supergravity origin. We study UV thermodynamics of a large metric deformation of the LST dual realized (in the extremal case) by type IIB fivebranes wrapping a two-sphere of a resolved conifold, and demonstrate that the resulting black hole has negative specific heat. This explicitly shows that the high energy thermodynamic instability of the LST holographic dual is of the supergravity origin.
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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.