Anisotropic Conformal Infinity
High Energy Physics - Theory
2012-01-23 v1 General Relativity and Quantum Cosmology
Differential Geometry
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.
Keywords
Cite
@article{arxiv.0909.3841,
title = {Anisotropic Conformal Infinity},
author = {Petr Horava and Charles M. Melby-Thompson},
journal= {arXiv preprint arXiv:0909.3841},
year = {2012}
}
Comments
11 pages