Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 28, Issue 21, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/28/21/215019
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Funding
- STFC
- INFN
- Science and Technology Facilities Council [ST/G000433/1, ST/J000426/1] Funding Source: researchfish
- STFC [ST/J000426/1, ST/G000433/1] Funding Source: UKRI
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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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