Chern-Simons Gravity Dual of BCFT

TL;DR

This paper constructs a Chern-Simons gravity dual for boundary conformal field theories (BCFTs), reproducing known results and proposing a method to compute holographic entanglement entropy using Wilson lines, with extensions to higher spin theories.

Contribution

It introduces a Chern-Simons gravity dual for BCFTs, including a boundary action and a Wilson line approach for entanglement entropy, extending the AdS/BCFT correspondence.

Findings

Reproduces known AdS/BCFT results within Chern-Simons framework

Proposes a Wilson line method for holographic entanglement entropy

Discusses higher spin extensions of the model

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.