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Chern-Simons Gravity Dual of BCFT
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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.
Forward citations
Cited by 2 Pith papers
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A Holographic Map from AdS$_3$ to CFT$_2$
Semiclassical pure AdS3 gravity states, labelled by fixed-area geodesic networks, are mapped to CFT2 primary states whose wavefunctions are networks of OPE coefficients.
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Defects extremal surfaces and interface CFTs
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.
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