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Lifshitz Space-Times for Schroedinger Holography

2014/09/30 by Jelle Hartong, Elias Kiritsis, Niels A. Obers · 1 citation
Physics and Astronomy · #cond-mat.str-el #hep-th

paper · pdf · doi:10.1016/j.physletb.2015.05.010

16 pages, clarifications added, typos fixed, refs updated

arxiv created 2015/03/12 · arxiv updated 2015/06/11

Abstract

We show that asymptotically locally Lifshitz space-times are holographically dual to field theories that exhibit Schroedinger invariance. This involves a complete identification of the sources, which describe torsional Newton-Cartan geometry on the boundary and transform under the Schroedinger algebra. We furthermore identify the dual vevs from which we define and construct the boundary energy-momentum tensor and mass current and show that these obey Ward identities that are organized by the Schroedinger algebra. We also point out that even though the energy flux has scaling dimension larger than z+2, it can be expressed in terms of computable vev/source pairs.

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