Brane dynamics of holographic BCFTs

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.

Automated summary

In this paper, we study various dynamical aspects of the AdS/BCFT correspondence in higher dimensions. By analyzing the metric perturbation in the gravity dual, we study the properties of the holographic stress energy tensor and calculate the stress energy tensor for a locally excited state on a half plane in a free scalar CFT. We also study the behavior of the scalar field perturbation in the AdS/BCFT setup and find complete reflections. Moreover, we provide support for the Island/BCFT correspondence in higher dimensions by comparing the entanglement entropy of a BCFT computed from the AdS/BCFT with that calculated from the Island formula. Finally, we show how one point functions in a BCFT can be calculated in our gravity dual.