Abstract
We present a detailed analysis of the construction of z = 2 and scale invariant Hořava-Lifshitz gravity. The construction procedure is based on the realization of Hořava-Lifshitz gravity as the dynamical Newton-Cartan geometry as well as a non-relativistic tensor calculus in the presence of the scale symmetry. An important consequence of this method is that it provides us with the necessary mechanism to distinguish the local scale invariance from the local Schrödinger invariance. Based on this result we discuss the z = 2 scale invariant Hořava-Lifshitz gravity and the symmetry enhancement to the full Schrödinger group.
| Original language | English |
|---|---|
| Article number | 115016 |
| Journal | Classical and Quantum Gravity |
| Volume | 35 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 15 May 2018 |
Bibliographical note
Publisher Copyright:© 2018 IOP Publishing Ltd.
Funding
We thank Hamid Afshar, Eric Bergshoeff, Jelle Hartong, Kristan Jensen and Jan Rosseel for useful discussions and clarifications on non-relativistic gravity. The authors would like to thank the referees for insightful comments which helped to improve this paper. DOD is supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2016R1A2B401304). NO and UZ are supported in parts by the Istanbul Technical University Research Fund under grant number TDK-2018-41133.
| Funders | Funder number |
|---|---|
| Istanbul Technical University Research Fund | TDK-2018-41133 |
| National Research Foundation of Korea | |
| Ministry of Education, Science and Technology | 2016R1A2B401304 |
Keywords
- Horava-Lifshitz gravity
- Newton-Cartan gravity
- Schrdinger symmetries