Holographic Dual of BCFT

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.

Figures (3)

• Figure 1: Examples of the holographic duals of BCFT with a single AdS boundary (a) and two AdS boundaries (b).
• Figure 2: The holographic dual of a half line (a) and a disk (b).
• Figure 3: The holographic dual of an interval at low temperature (a) and high temperature (b).