Boundary entropy under ambient RG flow in the AdS/BCFT model

Abstract

We discuss the change of the boundary entropy under an ambient renormalization group flow. We use conformal perturbation theory to calculate the change of the boundary entropy for $d$-dimensional BCFTs between two nearby fixed points. We also use the AdS${}_{d+1}$/BCFT${}_d$ model to calculate the boundary entropy. We show that the boundary entropy can increase under the ambient RG flow both in conformal perturbation theory and the AdS${}_{d+1}$/BCFT${}_d$ model. In a special case, the change of the boundary entropy in the AdS${}_{d+1}$/BCFT${}_d$ model reduces to that of the conformal perturbation theory.

12 pages, v2: published version in PRD

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• Towards a derivation of holographic entanglement entropy
• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• The g-theorem and quantum information theory
• Irreversibility in quantum field theories with boundaries
• Central Charges of 2d Superconformal Defects
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Cited by in corpus (7)

• Page Curves and Bath Deformations
• AdS/BCFT with Brane-Localized Scalar Field
• Brane Dynamics of Holographic BCFTs
• Free energy and defect $C$-theorem in free scalar theory
• Free energy and defect $C$-theorem in free fermion
• Chern-Simons Gravity Dual of BCFT
• Bubble quenches in the AdS/BCFT model