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Holographic formulation of 3D metric gravity with finite boundaries

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arxiv 1905.10931 v1 pith:G54VAVX5 submitted 2019-05-27 gr-qc hep-th

Seth K. Asante , Bianca Dittrich , Florian Hopfmueller This is my paper · ORCID
classification gr-qchep-th
keywords boundarytheoriesgravityholographicboundariesfinitegeneralaction
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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 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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  1. Quantum geometry from higher gauge theory

    gr-qc 2019-08 conditional novelty 7.0 of 10

    The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.

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