Holographic Dual of BCFT

TL;DR

This paper introduces a holographic dual for boundary conformal field theories (BCFTs), called AdS/BCFT, which accurately computes boundary entropy, supports a holographic g-theorem, and reveals a phase transition at finite temperature.

Contribution

It proposes a new holographic framework for BCFTs, enabling calculation of boundary entropy and phase transitions, extending AdS/CFT correspondence to boundary theories.

Findings

Successfully calculates boundary entropy in 2D BCFTs

Derives a holographic g-theorem

Identifies a first order phase transition at finite temperature

Abstract

We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e. boundary conformal field theory (BCFT). Our new holography, which may be called AdS/BCFT, successfully calculates the boundary entropy or g-function in two dimensional BCFTs and it agrees with the finite part of the holographic entanglement entropy. Moreover, we can naturally derive a holographic g-theorem. We also analyze the holographic dual of an interval at finite temperature and show that there is a first order phase transition.