Chern-Simons Gravity Dual of BCFT
High Energy Physics - Theory
2021-05-26 v2
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.
Cite
@article{arxiv.2011.02513,
title = {Chern-Simons Gravity Dual of BCFT},
author = {Tadashi Takayanagi and Takahiro Uetoko},
journal= {arXiv preprint arXiv:2011.02513},
year = {2021}
}
Comments
29 pages, 3 figures, minor changes, published version