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arXiv · 0909.3841

Anisotropic Conformal Infinity

Petr Horava·Charles M. Melby-Thompson
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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 Schrodinger 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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Petr Horava, Charles M. Melby-Thompson. 2009-09-21. Anisotropic Conformal Infinity. https://doi.org/10.1007/s10714-010-1117-y

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