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2009

Horava-Lifshitz Holography

Nishioka, Tatsuma

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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.

Horava-Lifshitz Holography · Around

Built on

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Y. Nutku, “Exact solutions of topologically massive gravity with a cosmological constant,” Class. Quant. Grav. 10
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S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
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E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
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J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
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Then

P. Hořava, “Membranes at Quantum Criticality,” JHEP 0903
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P. Hořava, “Quantum Gravity at a Lifshitz Point,” Phys. Rev. D 79
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D. Anninos, W. Li, M. Padi, W. Song and A. Strominger, “Warped AdS 3 Black Holes,” JHEP 0903
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G. Calcagni, “Cosmology of the Lifshitz universe,” arXiv:0904.0829 [hep-th]

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E. Kiritsis and G. Kofinas, “Hořava-Lifshitz Cosmology,” arXiv:0904.1334 [hep-th]

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S. Mukohyama, “Scale-invariant cosmological perturbations from Hořava-Lifshitz gravity without inflation,” arXiv:0904.2190 [hep-th]

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R. Brandenberger, “Matter Bounce in Hořava-Lifshitz Cosmology,” arXiv:0904.2835 [hep-th]

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Y. S. Piao, “Primordial Perturbation in Hořava-Lifshitz Cosmology,” arXiv:0904.4117 [hep-th]

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X. Gao, “Cosmological Perturbations and Non-Gaussianities in Hořava-Lifshitz Gravity,” arXiv:0904.4187 [hep-th]

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S. Mukohyama, K. Nakayama, F. Takahashi and S. Yokoyama, “Phenomenological Aspects of Hořava-Lifshitz Cosmology,” arXiv:0905.0055 [hep-th]

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