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Holographic Renormalization of Gravity in Little String Theory Duals
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We perform a holographic renormalization of gravity duals to little string theories. In particular, we construct counterterms which yield a well-defined type II action for NS-sector linear dilaton backgrounds. Our methods are based on a similar recent construction in asymptotically flat spacetimes, and our work demonstrates in detail the parallels between asymptotically flat and linear dilaton boundary conditions. The counterterms guarantee that (i) the on-shell action is finite and (ii) asymptotically linear dilaton solutions are stationary points of the action under all boundary condition preserving variations. We use the resulting action to compute a boundary stress tensor and the associated conserved charges.
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Cited by 2 Pith papers
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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.
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The On-shell Gravity Action and Linear Dilaton Holography
The Euclidean on-shell action for linear-dilaton three-dimensional string backgrounds yields a spacetime mass whose square-root form matches the TT-deformed CFT energy formula.
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