BCFT and Islands in Two Dimensions

Abstract

By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by considering a gravity solution with scalar fields turned on, we can reproduce one point functions correctly in the AdS/BCFT.

40 pages, 5 figures

References in corpus (11)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Page Curve for an Evaporating Black Hole
• Islands in Asymptotically Flat 2D Gravity
• Entanglement entropy in holographic moving mirror and Page curve
• Notes on islands in asymptotically flat 2d dilaton black holes
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Path-Integral Optimization from Hartle-Hawking Wave Function
• Analytic Bootstrap in 2D Boundary Conformal Field Theory: Towards Braneworld Holography
• Holographic moving mirrors

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