English

Horava-Lifshitz Holography

High Energy Physics - Theory 2009-11-19 v1 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.0905.0473,
  title  = {Horava-Lifshitz Holography},
  author = {Tatsuma Nishioka},
  journal= {arXiv preprint arXiv:0905.0473},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-06-21T12:58:05.379Z