Brane Dynamics of Holographic BCFTs

TL;DR

This paper explores the dynamical properties of higher-dimensional AdS/BCFT holography, including stress energy tensors, scalar perturbations, entanglement entropy, and one-point functions, confirming several theoretical expectations.

Contribution

It provides new insights into the dynamical aspects of AdS/BCFT in higher dimensions, including stress tensor behavior, scalar field reflections, and entanglement entropy calculations.

Findings

Stress energy tensor satisfies reflective boundary conditions.

Scalar perturbations exhibit complete reflections.

Entanglement entropy matches Island formula results.

Abstract

In this paper we study various dynamical aspects of the AdS/BCFT correspondence in higher dimensions. We study properties of holographic stress energy tensor by analyzing the metric perturbation in the gravity dual. We also calculate the stress energy tensor for a locally excited state on a half plane in a free scalar CFT. Both of them satisfy a reflective boundary condition that is expected for any BCFTs. We also study the behavior of the scalar field perturbation in the AdS/BCFT setup and show that they also show complete reflections. Moreover, we find that the entanglement entropy of a BCFT computed from the AdS/BCFT matched with that calculated from the Island formula, which supports the Island/BCFT correspondence in higher dimensions. Finally we show how we can calculate one point functions in a BCFT in our gravity dual.