Asymptotically Schrödinger space-times: TsT transformations and thermodynamics
Abstract
We study the complete class of 5-dimensional asymptotically Schrödinger space-times that can be obtained as the TsT transform of an asymptotically AdS5 space-time. Based on this we identify a conformal class of Schrödinger boundaries. We use a Fefferman-Graham type expansion to study the on-shell action for this class of asymptotically Schrödinger space-times and we show that its value is TsT invariant. In the second part we focus on black hole space-times and prove that black hole thermodynamics is also TsT invariant. We use this knowledge to argue that thermal global Schrödinger space-time at finite chemical potential undergoes a Hawking-Page type phase transition.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- January 2011
- DOI:
- 10.1007/JHEP01(2011)084
- arXiv:
- arXiv:1009.4997
- Bibcode:
- 2011JHEP...01..084H
- Keywords:
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- Holography and condensed matter physics (AdS/CMT);
- Gauge-gravity correspondence;
- AdS-CFT Correspondence;
- Black Holes;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- References added