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Asymptotically Schr\"odinger Space-Times · Around

2012

Asymptotically Schr\"odinger Space-Times

Hartong, Jelle, Rollier, Blaise

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We first review how asymptotically Schr\"odinger space-times arise in a natural way by performing a TsT transformation on asymptotically AdS space-times and some of its consequences.

We then give a coordinate independent definition of a pure Schr\"odinger space-time in terms of an AdS metric and an AdS null Killing vector.
Then, by analogy with the AdS case, we provide a local and coordinate independent definition of a Schr\"odinger boundary in terms of a defining function.
We use this to construct the Fefferman-Graham expansions of locally Schr\"odinger space-times.

Built on

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2000
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V. E. Hubeny, M. Rangamani and S. F. Ross, Causal structures and holography
2005
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O. Lunin and J. M. Maldacena, Deforming field theories with U(1) x U(1) global symmetry and their gravity duals
2005
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Y. Nishida and D. T. Son, Nonrelativistic conformal field theories
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2007
Earlier work this paper cites.

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Then

S. Schafer-Nameki, M. Yamazaki and K. Yoshida, Coset Construction for Duals of Non-relativistic CFTs
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P. Horava and C. M. Melby-Thompson, Anisotropic Conformal Infinity
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