On nonrelativistic diffeomorphism invariance
Abstract
We study certain aspects of the recently proposed notion of nonrelativistic diffeomorphism invariance. In particular, we consider specific examples of invariant actions, extended gauge symmetry as well as an application to the theory of quantum Hall effect. We also discuss an alternative approach based on Hořava-Lifshitz gravity.
- Publication:
-
Physical Review D
- Pub Date:
- March 2014
- DOI:
- 10.1103/PhysRevD.89.064012
- arXiv:
- arXiv:1309.7231
- Bibcode:
- 2014PhRvD..89f4012A
- Keywords:
-
- 04.50.-h;
- 04.50.Cd;
- 73.43.Cd;
- Higher-dimensional gravity and other theories of gravity;
- Kaluza-Klein theories;
- Theory and modeling;
- High Energy Physics - Theory;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- General Relativity and Quantum Cosmology
- E-Print:
- 12 pages, v2: Extended discussion in sec. 6 by including an additional invariant scalar, typo in eq. (4.9) corrected, small improvements of the presentation