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Open AccessArticle

Holographic Formulation of 3D Metric Gravity with Finite Boundaries

Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, ON N2L 2Y5, Canada
Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada
Author to whom correspondence should be addressed.
Universe 2019, 5(8), 181;
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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