On Holographic Defect Entropy

Abstract

We study a number of (3+1)- and (2+1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using holography, we compute the entanglement entropy of a (hemi-)spherical region centered on the defect (boundary). We define defect and boundary entropies from the entanglement entropy by an appropriate background subtraction. For some (3+1)-dimensional theories we find evidence that the defect/boundary entropy changes monotonically under certain renormalization group flows triggered by operators localized at the defect or boundary. This provides evidence that the g-theorem of (1+1)-dimensional field theories generalizes to higher dimensions.

40 pages, 1 appendix, 6 figures (7 pdf files)

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Cited by in corpus (70)

• A Constraint on Defect and Boundary Renormalization Group Flows
• The g-theorem and quantum information theory
• Towards a $C$-theorem in defect CFT
• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• Renormalization Group Flows on Line Defects
• BCFT and Islands in Two Dimensions
• From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects
• A New Proposal for Holographic BCFT
• CFT in AdS and boundary RG flows
• Bending branes for DCFT in two dimensions
• On New Proposal for Holographic BCFT
• Irreversibility in quantum field theories with boundaries
• Holo-ween
• AdS/BCFT with Brane-Localized Scalar Field
• Central Charges of 2d Superconformal Defects
• Holographic entanglement entropy in AdS4/BCFT3 and the Willmore functional
• Brane Dynamics of Holographic BCFTs
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Searching for surface defect CFTs within AdS${}_3$
• Monodromy Defects in Free Field Theories
• Boundary F-maximization
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Free energy and defect $C$-theorem in free scalar theory
• Energy Transport for Thick Holographic Branes
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• Entanglement Phase Transition in Holographic Pseudo Entropy
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• Entanglement and topological interfaces
• Holographic line defects in F(4) gauged supergravity
• Mutual information and the F-theorem
• RG flows on two-dimensional spherical defects
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• A note on entanglement entropy and regularization in holographic interface theories
• New AdS${}_2$ supergravity duals of 4d SCFTs with defects
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Holographic Weyl Anomalies for 4d Defects in 6d SCFTs
• Marginal deformations and defect anomalies
• Holographic calculation of entanglement entropy in the presence of boundaries
• Free energy and defect $C$-theorem in free fermion
• Action complexity in the presence of defects and boundaries
• Re-visiting Supersymmetric Janus Solutions: A Perturbative Construction
• Conformal Janus on Euclidean Sphere
• Holographic two-point functions for Janus interfaces in the $D1/D5$ CFT
• Boundary entropy under ambient RG flow in the AdS/BCFT model
• Entanglement entropy and differential entropy for massive flavors
• Transport across interfaces in symmetric orbifolds
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Holographic entanglement entropy of surface defects
• Negative energy enhancement in layered holographic conformal field theories
• Chern-Simons Gravity Dual of BCFT
• Entanglement entropy of Wilson loops: Holography and matrix models
• Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories
• Holographic Entanglement Entropy in Boundary Quantum Field Theory
• Janus and RG interfaces in three-dimensional gauged supergravity II: General $\alpha$
• Holographic Generalised Gukov-Witten Defects
• Holographic Entropy and Calabi's Diastasis
• Defect Localized Entropy: Renormalization Group and Holography
• Interface Conformal Anomalies
• Information metric on the boundary
• Comparing top-down and bottom-up holographic defects and boundaries
• Flavors of entanglement
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
• Interface entropy in four dimensions as Calabi's diastasis on the conformal manifold
• Effects of Non-Conformal Boundary on Entanglement Entropy
• One-point functions for doubly-holographic BCFTs and backreacting defects
• From Large to Small $\mathcal{N}=(4,4)$ Superconformal Surface Defects in Holographic 6d SCFTs
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• Conformal defects in supergravity - backreacted Dirac delta sources
• Finite temperature holographic duals of 2-dimensional BCFTs
• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory