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Horava-Lifshitz Holography

Tatsuma Nishioka
(
- Kyoto U. and
- Tokyo U., ICRR
)

May, 2009

7 pages

Published in:

Class.Quant.Grav. 26 (2009) 242001

e-Print:

0905.0473 [hep-th]

DOI:

10.1088/0264-9381/26/24/242001

Report number:

KUNS-2206

View in:

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Abstract: (arXiv)

We derive the detailed balance condition as a solution to the Hamilton-Jacobi equation in the Horava-Lifshitz gravity. This result leads us to propose the existence of the d-dimensional quantum field theory on the future boundary of the (d+1)-dimensional Horava-Lifshitz gravity from the viewpoint of the holographic renormalization group. We also obtain a Ricci flow equation of the boundary theory as the holographic RG flow, which is the Hamilton equation in the bulk gravity, by tuning parameters in the theory.

holography
Hamilton-Jacobi equation: solution
field theory: any-dimensional
Ricci
renormalization group: flow
Hamiltonian formalism
gravitation: Horava-Lifshitz

References(62)

Figures(0)

Membranes at Quantum Criticality

Petr Horava
(
- LBL, Berkeley and
- UC, Berkeley
)

- JHEP 03 (2009) 020
•
e-Print:
- 0812.4287
•
DOI:
- 10.1088/1126-6708/2009/03/020

Quantum Gravity at a Lifshitz Point

Petr Horava
(
- UC, Berkeley and
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)

- Phys.Rev.D 79 (2009) 084008
•
e-Print:
- 0901.3775
•
DOI:
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Linear perturbations of cosmological models in the Horava-Lifshitz theory of gravity without detailed balance

Anzhong Wang
(
- Baylor U.
)
,
Roy Maartens
(
- Portsmouth U.
)

- Phys.Rev.D 81 (2010) 024009
•
e-Print:
- 0907.1748
•
DOI:
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Large scale evolution of the curvature perturbation in Horava-Lifshitz cosmology

Tsutomu Kobayashi
(
- Waseda U.
)
,
Yuko Urakawa
(
- Waseda U.
)
,
Masahide Yamaguchi
(
- Sagamihara, Aoyama Gakuin U.
)

- JCAP 11 (2009) 015
•
e-Print:
- 0908.1005
•
DOI:
- 10.1088/1475-7516/2009/11/015

Chiral Primordial Gravitational Waves from a Lifshitz Point

Tomohiro Takahashi
(
- Kyoto U.
)
,
Jiro Soda
(
- Kyoto U.
)

- Phys.Rev.Lett. 102 (2009) 231301
•
e-Print:
- 0904.0554
•
DOI:
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Cosmology of the Lifshitz universe

Gianluca Calcagni
(
- Penn State U.
)

- JHEP 09 (2009) 112
•
e-Print:
- 0904.0829
•
DOI:
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Horava-Lifshitz Cosmology

Elias Kiritsis
(
- Crete U.
)
,
Georgios Kofinas
(
- Crete U.
)

- Nucl.Phys.B 821 (2009) 467-480
•
e-Print:
- 0904.1334
•
DOI:
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Relativistic Quantum Gravity at a Lifshitz Point

Cristiano Germani
(
- LUTH, Meudon and
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)
,
Alex Kehagias
(
- Natl. Tech. U., Athens
)
,
Konstadinos Sfetsos
(
- Patras U.
)

- JHEP 09 (2009) 060
•
e-Print:
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•
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Caustic avoidance in Horava-Lifshitz gravity

Shinji Mukohyama
(
- Tokyo U., IPMU
)

- JCAP 09 (2009) 005
•
e-Print:
- 0906.5069
•
DOI:
- 10.1088/1475-7516/2009/09/005

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Tiberiu Harko
(
- Hong Kong U.
)
,
Zoltan Kovacs
(
- Hong Kong U.
)
,
Francisco S.N. Lobo
(
- Lisbon U., CFTC
)

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•
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•
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Charalampos Bogdanos
(
- Orsay, LPT
)
,
Emmanuel N. Saridakis
(
- Athens U.
)

- Class.Quant.Grav. 27 (2010) 075005
•
e-Print:
- 0907.1636
•
DOI:
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Scale-invariant cosmological perturbations from Horava-Lifshitz gravity without inflation

Shinji Mukohyama
(
- Tokyo U., IPMU
)

- JCAP 06 (2009) 001
•
e-Print:
- 0904.2190
•
DOI:
- 10.1088/1475-7516/2009/06/001

Matter Bounce in Horava-Lifshitz Cosmology

Robert Brandenberger
(
- McGill U. and
- CERN
)

- Phys.Rev.D 80 (2009) 043516
•
e-Print:
- 0904.2835
•
DOI:
- 10.1103/PhysRevD.80.043516

Primordial Perturbation in Horava-Lifshitz Cosmology

Yun-Song Piao
(
- Beijing, GUCAS and
- Beijing, KITPC
)

- Phys.Lett.B 681 (2009) 1-4
•
e-Print:
- 0904.4117
•
DOI:
- 10.1016/j.physletb.2009.09.047

Primordial perturbations and non-gaussianities in Hořava-Lifshitz gravity

Xian Gao
(
- Beijing, Inst. Theor. Phys.
)

- Chin.Phys.C 43 (2019) 7, 075103
•
e-Print:
- 0904.4187
•
DOI:
- 10.1088/1674-1137/43/7/075103

Phenomenological Aspects of Horava-Lifshitz Cosmology

Shinji Mukohyama
(
- Tokyo U., IPMU
)
,
Kazunori Nakayama
(
- Tokyo U., ICRR
)
,
Fuminobu Takahashi
(
- Tokyo U., IPMU
)
,
Shuichiro Yokoyama
(
- Nagoya U.
)

- Phys.Lett.B 679 (2009) 6-9
•
e-Print:
- 0905.0055
•
DOI:
- 10.1016/j.physletb.2009.07.005

Scale Invariant Power Spectrum in Hořava-Lifshitz Cosmology without Matter

- JCAP 08 (2009) 007
•
e-Print:
- 0905.2300
•
DOI:
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Horava-Lifshitz Dark Energy

Emmanuel N. Saridakis
(
- Athens U.
)

- Eur.Phys.J.C 67 (2010) 229-235
•
e-Print:
- 0905.3532
•
DOI:
- 10.1140/epjc/s10052-010-1294-6

Dark matter as integration constant in Horava-Lifshitz gravity

Shinji Mukohyama
(
- Tokyo U., IPMU
)

- Phys.Rev.D 80 (2009) 064005
•
e-Print:
- 0905.3563
•
DOI:
- 10.1103/PhysRevD.80.064005

Cosmological Perturbations in Hořava-Lifshitz Gravity

Xian Gao
(
- Beijing, KITPC
)
,
Yi Wang
(
- Beijing, KITPC
)
,
R. Brandenberger
(
- McGill U. and
- CERN
)
,
A. Riotto
(
- CERN and
- INFN, Padua
)

- Phys.Rev.D 81 (2010) 083508
•
e-Print:
- 0905.3821
•
DOI:
- 10.1103/PhysRevD.81.083508

Classification of cosmology with arbitrary matter in the Hořava-Lifshitz theory

Masato Minamitsuji

- Phys.Lett.B 684 (2010) 194-198
•
e-Print:
- 0905.3892
•
DOI:
- 10.1016/j.physletb.2010.01.021

Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity

Anzhong Wang
(
- Baylor U.
)
,
Yumei Wu
(
- Baylor U.
)

- JCAP 07 (2009) 012
•
e-Print:
- 0905.4117
•
DOI:
- 10.1088/1475-7516/2009/07/012

Covariant Horava-like renormalizable gravity and its FRW cosmology

Shin'ichi Nojiri
(
- Nagoya U.
)
,
Sergei D. Odintsov
(
- ICREA, Barcelona and
- Barcelona, IEEC
)

- Phys.Rev.D 81 (2010) 043001
•
e-Print:
- 0905.4213
•
DOI:
- 10.1103/PhysRevD.81.043001

A Test of Horava Gravity: The Dark Energy

Mu-in Park
(
- Chonbuk Natl. U.
)

- JCAP 01 (2010) 001
•
e-Print:
- 0906.4275
•
DOI:
- 10.1088/1475-7516/2010/01/001

Breaking the scale invariance of the primordial power spectrum in Horava-Lifshitz Cosmology

- Phys.Rev.D 80 (2009) 063514
•
e-Print:
- 0907.1549
•
DOI:
- 10.1103/PhysRevD.80.063514

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