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A CFT perspective on gravitational dressing and bulk locality

Author(s): Lewkowycz, Aitor; Turiaci, Gustavo J.; Verlinde, Herman L.

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Abstract: We revisit the construction of local bulk operators in AdS/CFT with special focus on gravitational dressing and its consequences for bulk locality. Specializing to 2+1-dimensions, we investigate these issues via the proposed identification between bulk operators and cross-cap boundary states. We obtain explicit expressions for correlation functions of bulk fields with boundary stress tensor insertions, and find that they are free of non-local branch cuts but do have non-local poles. We recover the HKLL recipe for restoring bulk locality for interacting fields as the outcome of a natural CFT crossing condition. We show that, in a suitable gauge, the cross-cap states solve the bulk wave equation for general background geometries, and satisfy a conformal Ward identity analogous to a soft graviton theorem. Virasoro symmetry, the large N conformal bootstrap and the uniformization theorem all play a key role in our derivations.
Publication Date: 2-Jan-2017
Electronic Publication Date: 2-Jan-2017
Citation: Lewkowycz, Aitor, Turiaci, Gustavo J, Verlinde, Herman. (2017). A CFT perspective on gravitational dressing and bulk locality. JOURNAL OF HIGH ENERGY PHYSICS, doi:10.1007/JHEP01(2017)004
DOI: doi:10.1007/JHEP01(2017)004
ISSN: 1029-8479
Pages: 1 - 44
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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