Fetching the paper…

Reading the bibliography…

2018

Scale Invariance in Newton-Cartan and Ho\v{r}ava-Lifshitz Gravity

Devecioglu, Deniz Olgu, Ozdemir, Nese, Ozkan, Mehmet et al.

Original
PDF
Post on X

Understand

We present a detailed analysis of the construction of $z=2$ and $z\neq2$ scale invariant Ho\v{r}ava-Lifshitz gravity.

The construction procedure is based on the realization of Ho\v{r}ava-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 the necessary mechanism to distinguish the local scale invariance from the local Schr\"odinger invariance.
Based on this result we discuss the $z=2$ scale invariant Ho\v{r}ava-Lifshitz gravity and the symmetry enhancement to the full Schr\"odinger group.

Scale Invariance in Newton-Cartan and Ho\v{r}ava-Lifshitz Gravity · Around

Built on

E. Cartan, “Sur les variétés à connexion affine et la théorie de la relativité généralisée. (première partie),” Annales Sci.Ecole Norm.Sup. 40 (1923) 325-412
1923
Earlier work this paper cites.
E. Cartan, “Sur les variétés à connexion affine et la théorie de la relativité généralisée. (première partie) (Suite),” Annales Sci.Ecole Norm.Sup. 41 (1924) 1-25
1924
Earlier work this paper cites.
A. Trautman, “Sur la theorie newtonienne de la gravitation,” Compt. Rend. Acad. Sci. Paris 247 (1963) 617
1963
Earlier work this paper cites.
J. Ehlers, “Über den Newtonschen Grenzwert,” in Grundlagen-probleme der modernen Physik
1981
Earlier work this paper cites.
G. Dautcourt, “On the Newtonian limit of General Relativity,” Acta. Phys. Pol. B 21
1990
Earlier work this paper cites.
C. Leiva and M. S. Plyushchay, “Conformal symmetry of relativistic and nonrelativistic systems and Ads / CFT correspondence,” Annals Phys
2003
Earlier work this paper cites.
K. Balasubramanian and J. McGreevy, “Gravity duals for non-relativistic CFTs,” Phys. Rev. Lett
Original
2008
Earlier work this paper cites.
D. T. Son, “Toward an AdS/cold atoms correspondence: A Geometric realization of the Schrodinger symmetry,” Phys. Rev
Original
2008
Earlier work this paper cites.
C. P. Herzog, M. Rangamani, and S. F. Ross, “Heating up Galilean holography,” JHEP
Original
2008
Earlier work this paper cites.
S. Kachru, X. Liu, and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Phys. Rev
Original
2008
Earlier work this paper cites.

Similar

P. Horava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D 79
Original
2009
Cited alongside, same era.
P. Horava, “Membranes at Quantum Criticality,” JHEP 0903
Original
2009
Cited alongside, same era.
C. Duval, M. Hassaine, and P. A. Horvathy, “The Geometry of Schrodinger symmetry in gravity background/non-relativistic CFT,” Annals Phys
Original
2009
Cited alongside, same era.
A. Bagchi and R. Gopakumar, “Galilean Conformal Algebras and AdS/CFT,” JHEP
Original
2009
Cited alongside, same era.
R. Andringa, E. Bergshoeff, S. Panda and M. de Roo, “Newtonian Gravity and the Bargmann Algebra,” Class. Quant. Grav. 28
Original

Then

E. A. Bergshoeff, J. Hartong and J. Rosseel, “Torsional Newton - Cartan geometry and the Schrödinger algebra,” Class. Quant. Grav. 32
Original
2015
Later among the works it cites.
J. Hartong, E. Kiritsis and N. A. Obers, “Field Theory on Newton-Cartan Backgrounds and Symmetries of the Lifshitz Vacuum,” JHEP 1508
Original
2015
Later among the works it cites.
E. Bergshoeff, J. Rosseel and T. Zojer, “Newton-Cartan supergravity with torsion and Schrödinger supergravity,” JHEP 1511
Original
2015
Later among the works it cites.
H. R. Afshar, E. A. Bergshoeff, A. Mehra, P. Parekh and B. Rollier, “A Schrödinger approach to Newton-Cartan and Hořava-Lifshitz gravities,” JHEP 1604
Original
2016
Later among the works it cites.
R. Banerjee and P. Mukherjee, “Torsional Newton–Cartan geometry from Galilean gauge theory,” Class. Quant. Grav. 33

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2011

Cited alongside, same era.

M. H. Christensen, J. Hartong, N. A. Obers and B. Rollier, “Torsional Newton-Cartan Geometry and Lifshitz Holography,” Phys. Rev. D 89

2014

Cited alongside, same era.

A. Gromov and A. G. Abanov, “Thermal Hall Effect and Geometry with Torsion,” Phys. Rev. Lett

2015

Cited alongside, same era.

M. Geracie, D. T. Son, C. Wu, and S.-F. Wu, “Spacetime Symmetries of the Quantum Hall Effect,” Phys. Rev

2015

Cited alongside, same era.

S. Moroz and C. Hoyos, “Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation,” Phys. Rev

2015

Cited alongside, same era.

J. Hartong and N. A. Obers, “Horava-Lifshitz gravity from dynamical Newton-Cartan geometry,” JHEP 1507

2015

Cited alongside, same era.

D. T. Son, “Newton-Cartan Geometry and the Quantum Hall Effect,” 1306.0638

Cited in the paper.

M. Taylor, “Non-relativistic holography,” 0812.0530

Cited in the paper.

2016

Later among the works it cites.

J. Beltran Jimenez and T. S. Koivisto, “Spacetimes with vector distortion: Inflation from generalised Weyl geometry,” Phys. Lett. B 756

2016

Later among the works it cites.

A. Wang, “Horava gravity at a Lifshitz point: A progress report,” Int. J. Mod. Phys. D 26

2017

Later among the works it cites.

A. Mitra, “Nonrelativistic fluids on scale covariant Newton–Cartan backgrounds,” Int. J. Mod. Phys. A 32

2017

Later among the works it cites.

E. Bergshoeff, A. Chatzistavrakidis, L. Romano and J. Rosseel, “Newton-Cartan Gravity and Torsion,” JHEP 1710

2017

Later among the works it cites.