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Chern-Simons Gravity Dual of BCFT

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arxiv 2011.02513 v2 pith:2D3KDO2Q submitted 2020-11-04 hep-th

Chern-Simons Gravity Dual of BCFT

classification hep-th
keywords bcftboundarychern-simonsgravitytheorybraneconformaldual
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper we provide a Chern-Simons gravity dual of a two dimensional conformal field theory on a manifold with boundaries, so called boundary conformal field theory (BCFT). We determine the correct boundary action on the end of the world brane in the Chern-Simons gauge theory. This reproduces known results of the AdS/BCFT for the Einstein gravity. We also give a prescription of calculating holographic entanglement entropy by employing Wilson lines which extend from the AdS boundary to the end of the world brane. We also discuss a higher spin extension of our formulation.

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Cited by 3 Pith papers

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

  1. A Holographic Map from AdS$_3$ to CFT$_2$

    hep-th 2026-07 conditional novelty 6.0

    Semiclassical pure AdS3 gravity states, labelled by fixed-area geodesic networks, are mapped to CFT2 primary states whose wavefunctions are networks of OPE coefficients.

  2. On random matrix statistics of 3d gravity

    hep-th 2025-12 unverdicted novelty 6.0

    3d gravity on Σ_{g,n} × I with EOW branes equals the Virasoro minimal string random matrix model, with exact match for g=0 n=2 and inner-product formulation for negative Euler characteristic.

  3. Defects extremal surfaces and interface CFTs

    hep-th 2026-07 conditional novelty 4.0

    A generalized defect-extremal-surface prescription for AdS3/ICFT2 is shown to match island-formula entropies in the large-tension limit and to produce Page curves for 2d eternal black holes.