AdS/BCFT with Brane-Localized Scalar Field

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.

54 pages + appendix, 34 figures, references added

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Cited by in corpus (2)

• Massless Entanglement Islands in Cone Holography
• Negative R$\acute{\text{e}}$nyi entropy and Brane intersection