# A New Proposal for Holographic BCFT

## TL;DR

This paper introduces a new holographic dual for BCFTs that applies to general boundaries, reproduces expected anomalies, and reveals boundary-dependent entanglement entropy with phase transitions.

## Contribution

It proposes a novel AdS/BCFT framework applicable to general boundaries, extending previous models and analyzing entanglement entropy and phase transitions.

## Key findings

- Successfully reproduces boundary Weyl anomaly
- Boundary central charges satisfy a c-like theorem holographically
- Entanglement entropy depends on boundary conditions and exhibits phase transitions

## Abstract

We propose a new holographic dual of conformal field theory defined on a manifold with boundaries, i.e. BCFT. Our proposal can apply to general boundaries and agrees with arXiv:1105.5165 for the special case of a disk and half plane. Using the new proposal of AdS/BCFT, we successfully obtain the expected boundary Weyl anomaly and the obtained boundary central charges satisfy naturally a c-like theorem holographically. We also investigate the holographic entanglement entropy of BCFT and find that the minimal surface must be normal to the bulk spacetime boundaries when they intersect. Interestingly,the entanglement entropy depends on the boundary conditions of BCFT and the distance to the boundary. The entanglement wedge has an interesting phase transition which is important for the self-consistency of AdS/BCFT.