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arXiv · 1905.10931

Holographic formulation of 3D metric gravity with finite boundaries

Seth K. Asante·Bianca Dittrich·Florian Hopfmueller
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Abstract

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 centre 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.

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Seth K. Asante, Bianca Dittrich, Florian Hopfmueller. 2019-05-27. Holographic formulation of 3D metric gravity with finite boundaries. https://arxiv.org/abs/1905.10931

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