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Holographic Renormalization of Gravity in Little String Theory Duals

Donald Marolf·Amitabh Virmani
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Abstract

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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Donald Marolf, Amitabh Virmani. 2007-06-13. Holographic Renormalization of Gravity in Little String Theory Duals. https://doi.org/10.1088/1126-6708%2F2007%2F06%2F042

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