AdS/BCFT with Brane-Localized Scalar Field

TL;DR

This paper explores the dynamics of brane-localized scalar fields in AdS space, constructing explicit gravity duals of boundary RG flows and revealing phase transitions related to measurement-induced phenomena.

Contribution

It introduces a new class of gravity duals with scalar fields on EOW branes, enabling explicit solutions for boundary RG flows and novel phase transition insights.

Findings

Constructed explicit solutions for boundary RG flows.

Discovered confinement/deconfinement-like transitions influenced by scalar potentials.

Linked phase transitions to measurement-induced phenomena via Wick rotation.

Abstract

In this paper, we study the dynamics of end-of-the-world (EOW) branes in AdS with scalar fields localized on the branes as a new class of gravity duals of CFTs on manifolds with boundaries. This allows us to construct explicit solutions dual to boundary RG flows. We also obtain a variety of annulus-like or cone-like shaped EOW branes, which are not possible without the scalar field. We also present a gravity dual of a CFT on a strip with two different boundary conditions due to the scalar potential, where we find the confinement/deconfinement-like transition as a function of temperature and the scalar potential. Finally, we point out that this phase transition is closely related to the measurement-induced phase transition, via a Wick rotation.