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Open AccessArticle

Holographic Formulation of 3D Metric Gravity with Finite Boundaries

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Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON N2L 2Y5, Canada
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Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada
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Author to whom correspondence should be addressed.
Universe 2019, 5(8), 181; https://doi.org/10.3390/universe5080181
Received: 4 June 2019 / Revised: 22 July 2019 / Accepted: 23 July 2019 / Published: 31 July 2019
In this work we construct holographic boundary theories for linearized 3D gravity, for a general family of finite or quasi-local boundaries. These boundary theories are directly derived from the dynamics of 3D gravity by computing the effective action for a geometric boundary observable, which measures the geodesic length from a given boundary point to some center in the bulk manifold. We identify the general form for these boundary theories and find that these are Liouville-like with a coupling to the boundary Ricci scalar. This is illustrated with various examples, which each offer interesting insights into the structure of holographic boundary theories. View Full-Text
Keywords: quantum gravity; holography; AdS/CFT quantum gravity; holography; AdS/CFT
MDPI and ACS Style

Asante, S.K.; Dittrich, B.; Hopfmueller, F. Holographic Formulation of 3D Metric Gravity with Finite Boundaries. Universe 2019, 5, 181.

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