Asymptotically Schrödinger Space-Times

Abstract

We first review how asymptotically Schrödinger 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 Schrödinger 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 Schrödinger boundary in terms of a defining function. We use this to construct the Fefferman-Graham expansions of locally Schrödinger space-times.

6 pages, based on a contribution to the Proceedings of the XVII European Workshop on String Theory (Padova, 5-9 September 2011)