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On the Boundary Dynamics of Chern-Simons Gravity

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arxiv hep-th/0210089 v2 pith:TYYKKBJZ submitted 2002-10-09 hep-th gr-qc

Giovanni Arcioni , Matthias Blau , Martin O'Loughlin This is my paper · ORCID
classification hep-thgr-qc
keywords boundarygaugegravityactionchern-simonsinvariantmodelworldsheet
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We study Chern-Simons theory with a complex G_C or a real G x G gauge group on a manifold with boundary - this includes Lorentzian and Euclidean (anti-) de Sitter (E/A)dS gravity for G=SU(2) or G=SL(2,R). We show that there is a canonical choice of boundary conditions that leads to an unambiguous, fully covariant and gauge invariant, off-shell derivation of the boundary action - a G_C/G or G WZW model, coupled in a gauge invariant way to the boundary value of the gauge field. In particular, for (E/A)dS gravity, the boundary action is a WZW model with target space (E/A)dS_3, reminiscent of a worldsheet for worldsheet mechanism. We discuss in some detail the properties of the boundary theories that arise and we confront our results with various related constructions in the literature.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.

  2. Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity

    hep-th 2025-01 conditional novelty 6.0 of 10

    Boundary reduction of 3d higher-spin Chern-Simons gravity yields covariant and gauge-fixed higher-derivative chiral-scalar actions for arbitrary spin s, with a factorized kinetic operator and special zero-mode backgrounds.

  3. Holographic Complexity as a Probe of Boundary Entropy in AdS/BCFT

    hep-th 2026-08 reject novelty 3.0 of 10

    Relative complexity in AdS/BCFT is claimed to equal boundary entropy log g divided by pi hbar, but the equality is built into the renormalization counterterm.

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