Universe (Jul 2019)

Holographic Formulation of 3D Metric Gravity with Finite Boundaries

  • Seth K. Asante,
  • Bianca Dittrich,
  • Florian Hopfmueller

DOI
https://doi.org/10.3390/universe5080181
Journal volume & issue
Vol. 5, no. 8
p. 181

Abstract

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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.

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