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Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity
Classical and Quantum Gravity
  • Robert A McNees, IV, Loyola University Chicago
  • Robert Mann, University of Waterloo, Perimeter Institute
Document Type
Article
Publication Date
6-1-2010
Abstract

A variational principle is constructed for gravity coupled to an asymptotically linear dilaton and a p-form field strength. This requires the introduction of appropriate surface terms—also known as 'boundary counterterms'—in the action. The variation of the action with respect to the boundary metric yields a boundary stress tensor, which is used to construct conserved charges that generate the asymptotic symmetries of the theory. In most cases a minimal set of assumptions leads to a unique set of counterterms. However, for certain examples we find families of actions that depend on one or more continuous parameters. We show that the conserved charges and the value of the on-shell action are always independent of these parameters.

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Citation Information
Article URL : http://stacks.iop.org/0264-9381/27/i=6/a=065015 Title : Boundary terms unbound! Holographic renormalization of asymptotically linear dilaton gravity Authors : Robert B Mann and Robert McNees Year : 2010 Start Page : 065015 Journal : Classical and Quantum Gravity Volume : 27 Issue Num : 6 ISSN : 0264-9381