Anisotropic Conformal Infinity

Charles M. Melby-Thompson; Petr Horava

Anisotropic Conformal Infinity

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arxiv 0909.3841 v1 pith:YJI3ZNMG submitted 2009-09-21 hep-th gr-qcmath.DG

Petr Horava , Charles M. Melby-Thompson This is my paper

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keywords anisotropicconformalinfinityspacetimesanisotropyappearsasymptoticboundary

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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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