Asymptotically Schr\"odinger Space-Times
High Energy Physics - Theory
2015-06-04 v1
Abstract
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.
Cite
@article{arxiv.1202.1433,
title = {Asymptotically Schr\"odinger Space-Times},
author = {Jelle Hartong and Blaise Rollier},
journal= {arXiv preprint arXiv:1202.1433},
year = {2015}
}
Comments
6 pages, based on a contribution to the Proceedings of the XVII European Workshop on String Theory (Padova, 5-9 September 2011)