Anisotropic conformal infinity

  • Hořava P
  • Melby-Thompson C
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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.

Author-supplied keywords

  • AdS/CFT correspondence
  • Anisotropic scaling
  • Conformal infinity of spacetime
  • Holography for nonrelativistic field theories
  • Lifshitz and Schrödinger spacetimes

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Authors

  • Petr Hořava

  • Charles M. Melby-Thompson

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