Holography for asymptotically locally Lifshitz spacetimes

Details Holography for asymptotically locally Lifshitz spacetimes Holography for asymptotically locally Lifshitz spacetimes

2011-07-22

arxiv.org/abs/1107.4451v2

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, no figures; v2: references added

Scientific paper

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.

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