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Article
Holographic Renormalization of Asymptotically Lifshitz Spacetimes
Journal of High Energy Physics (2011)
  • Robert McNees, Loyola University Chicago
  • Robert Mann
Abstract
A variational formulation is given for a theory of gravity coupled to a massive vector in four dimensions, with Asymptotically Lifshitz boundary conditions on the fields. For theories with critical exponent zā€‰=ā€‰2 we obtain a well-defined variational principle by explicitly constructing two actions with local boundary counterterms. As part of our analysis we obtain solutions of these theories on a neighborhood of spatial infinity, study the asymptotic symmetries, and consider different definitions of the boundary stress tensor and associated charges. A constraint on the boundary data for the fields figures prominently in one of our formulations, and in that case the only suitable definition of the boundary stress tensor is due to Hollands, Ishibashi, and Marolf. Their definition naturally emerges from our requirement of finiteness of the action under Hamilton-Jacobi variations of the fields. A second, more general variational principle also allows the Brown-York definition of a boundary stress tensor.
Keywords
  • Gauge-gravity correspondence,
  • Black Holes,
  • Holography and condensed matter physics (AdS/CMT)
Publication Date
Fall October, 2011
Citation Information
Robert McNees and Robert Mann. "Holographic Renormalization of Asymptotically Lifshitz Spacetimes" Journal of High Energy Physics Vol. 2011 Iss. 10 (2011)
Available at: http://works.bepress.com/robert_mcnees/1/