Scale invariance in Newton-Cartan and Hořava-Lifshitz gravity

Deniz Olgu Devecioǧlu; Neşe Ozdemir; Mehmet Ozkan; Utku Zorba

doi:10.1088/1361-6382/aac07e

Scale invariance in Newton-Cartan and Hořava-Lifshitz gravity

Deniz Olgu Devecioǧlu
, Neşe Ozdemir
, Mehmet Ozkan
, Utku Zorba

Fizik Mühendisliği Bölümü

Sogang University
Istanbul Technical University

Araştırma çıktısı: Dergiye katkı › Makale › Hakem

11 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	115016
Dergi	Classical and Quantum Gravity
Hacim	35
Basın numarası	11
DOI'lar	https://doi.org/10.1088/1361-6382/aac07e
Yayın durumu	Yayınlandı - 15 May 2018

Bibliyografik not

Publisher Copyright:
© 2018 IOP Publishing Ltd.

Finansman

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.

Finansörler	Finansör numarası
Istanbul Technical University Research Fund	TDK-2018-41133
National Research Foundation of Korea
Ministry of Education, Science and Technology	2016R1A2B401304

Belgeye Erişim

10.1088/1361-6382/aac07e

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{a975ffaadb6b48a387cd87566e1ead51,

title = "Scale invariance in Newton-Cartan and Ho{\v r}ava-Lifshitz gravity",

abstract = "We present a detailed analysis of the construction of z = 2 and 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 with the necessary mechanism to distinguish the local scale invariance from the local Schr{\"o}dinger 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{\"o}dinger group.",

keywords = "Horava-Lifshitz gravity, Newton-Cartan gravity, Schrdinger symmetries",

author = "Devecioǧlu, \{Deniz Olgu\} and Ne{\c s}e Ozdemir and Mehmet Ozkan and Utku Zorba",

note = "Publisher Copyright: {\textcopyright} 2018 IOP Publishing Ltd.",

year = "2018",

month = may,

day = "15",

doi = "10.1088/1361-6382/aac07e",

language = "English",

volume = "35",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

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TY - JOUR

T1 - Scale invariance in Newton-Cartan and Hořava-Lifshitz gravity

AU - Devecioǧlu, Deniz Olgu

AU - Ozdemir, Neşe

AU - Ozkan, Mehmet

AU - Zorba, Utku

PY - 2018/5/15

Y1 - 2018/5/15

N2 - 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.

AB - 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.

KW - Horava-Lifshitz gravity

KW - Newton-Cartan gravity

KW - Schrdinger symmetries

UR - https://www.scopus.com/pages/publications/85047207769

U2 - 10.1088/1361-6382/aac07e

DO - 10.1088/1361-6382/aac07e

M3 - Article

AN - SCOPUS:85047207769

SN - 0264-9381

VL - 35

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 11

M1 - 115016

ER -

Scale invariance in Newton-Cartan and Hořava-Lifshitz gravity

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

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