Holography for asymptotically locally Lifshitz spacetimes

Abstract

We give a definition of asymptotically locally Lifshitz spacetimes, with boundary data appropriate for a non-relativistic theory on the boundary. Solutions satisfying these boundary conditions are constructed in an asymptotic expansion. We identify the boundary data with sources for dual field theory operators, and give a prescription for calculating the one-point functions of the field theory operators (including the stress tensor) in the presence of arbitrary sources. The divergences in these one-point functions can be cancelled by holographic renormalization, adding counterterms which are local functions of the boundary data.

31 pages, no figures; v2: references added; v3: various typos corrected

References in corpus (8)

• Non-relativistic holography
• Holographic stress tensor for non-relativistic theories
• Lifshitz Solutions of D=10 and D=11 supergravity
• Constructing Lifshitz solutions from AdS
• Hamilton-Jacobi Renormalization for Lifshitz Spacetime
• Holographic Renormalization for Asymptotically Lifshitz Spacetimes
• Holographic renormalization for irrelevant operators and multi-trace counterterms
• Irrelevant deformations and the holographic Callan-Symanzik equation

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