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Anisotropic conformal infinity
Authors:Petr Hořava  Charles M. Melby-Thompson
Affiliation:1.Berkeley Center for Theoretical Physics, Department of Physics,University of California,Berkeley,USA;2.Theoretical Physics Group,Lawrence Berkeley National Laboratory,Berkeley,USA
Abstract:We generalize Penrose’s notion of conformal infinity of spacetime, to situations with anisotropic scaling. This is relevant not only for Lifshitz-type anisotropic gravity models, but also in standard general relativity and string theory, for spacetimes exhibiting a natural asymptotic anisotropy. Examples include the Lifshitz and Schrödinger spaces (proposed as AdS/CFT duals of nonrelativistic field theories), warped AdS 3, and the near-horizon extreme Kerr geometry. The anisotropic conformal boundary appears crucial for resolving puzzles of holographic renormalization in such spacetimes.
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