Chern-Simons Gravity Dual of BCFT

Abstract

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.

arXiv comment29 pages, 3 figures, minor changes, published version

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• Comments on the holographic description of Narain theories
• Structure of Holographic BCFT Correlators from Geodesics
• A note on the bulk interpretation of the Quantum Extremal Surface formula
• Complexity in a moving mirror model
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Boundary terms, branes and AdS/BCFT in first-order gravity
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Holographic Reflected Entropy: Islands and Defect Phases