Central Charges for BCFTs and Holography

Abstract

In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing functions under the RG flows. We present a few supporting evidences from field theory calculations. In two dimensions, we give a holographic construction (AdS/BCFT) for an arbitrary shape of boundary and calculate its logarithmic term as well as boundary energy momentum tensors, confirming its consistency with the Weyl anomaly. Moreover, we give perturbative solutions of gravity duals for the three dimensional BCFTs with any shapes of boundaries. We find that the standard Fefferman-Graham expansion breaks down for generic choices of BCFT boundaries.

27pages,3figures

References in corpus (2)

• Holographic c-theorems in arbitrary dimensions
• Conformal field theories in anti-de Sitter space

Cited by in corpus (107)

• Gravity Dual of Quantum Information Metric
• A Constraint on Defect and Boundary Renormalization Group Flows
• Boundary Conformal Field Theory and a Boundary Central Charge
• Codimension two holography for wedges
• The g-theorem and quantum information theory
• Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects
• Mutual information after a local quench in conformal field theory
• Towards a $C$-theorem in defect CFT
• Island in Charged Black Holes
• Entanglement entropy in higher derivative holography
• On Holographic Defect Entropy
• BCFT and Islands in Two Dimensions
• Holographic Quantum Circuits from Splitting/Joining Local Quenches
• From the Weyl Anomaly to Entropy of Two-Dimensional Boundaries and Defects
• Displacement Operators and Constraints on Boundary Central Charges
• A New Proposal for Holographic BCFT
• CFT in AdS and boundary RG flows
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• Bending branes for DCFT in two dimensions
• On New Proposal for Holographic BCFT
• An Exact Construction of Codimension two Holography
• A complexity/fidelity susceptibility g-theorem for AdS${}_3$/BCFT${}_2$
• Holographic duals of Boundary CFTs
• Causal Structures and Nonlocality in Double Holography
• EPR Pairs, Local Projections and Quantum Teleportation in Holography
• Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories
• Entanglement Entropy in a Holographic Kondo Model
• Double Local Quenches in 2D CFTs and Gravitational Force
• AdS/BCFT with Brane-Localized Scalar Field
• Holographic BCFT with Dirichlet Boundary Condition
• Complexity in the presence of a boundary
• Anomalous Transport in Holographic Boundary Conformal Field Theories
• Holographic entanglement entropy in AdS4/BCFT3 and the Willmore functional
• Brane Dynamics of Holographic BCFTs
• Time-like Entanglement Entropy in AdS/BCFT
• Topological pseudo entropy
• Modular Hamiltonians for the massless Dirac field in the presence of a boundary
• Modular Hamiltonians for the massless Dirac field in the presence of a defect
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory
• Holographic measurement and bulk teleportation
• AdS/BCFT and Island for curvature-squared gravity
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• Two dimensional quantum quenches and holography
• Universality for Shape Dependence of Casimir Effects from Weyl Anomaly
• Spectrum of End of the World Branes in Holographic BCFTs
• Holographic BCFT with a Defect on the End-of-the-World Brane
• Page Curve of Effective Hawking Radiation
• Codimension-n Holography for Cones
• Wilson Surface Central Charge from Holographic Entanglement Entropy
• Studying the 3d Ising surface CFTs on the fuzzy sphere
• Free energy and defect $C$-theorem in free scalar theory
• A defect in holographic interpretations of tensor networks
• Scale invariance vs conformal invariance
• Conformal Boundary Condition and Massive Gravitons in AdS/BCFT
• On the AdS/BCFT Approach to Quantum Hall Systems
• Island on codimension-two branes in AdS/dCFT
• Black Holes in AdS/BCFT and Fluid/Gravity Correspondence
• AdS/BCFT correspondence and BTZ black hole thermodynamics within Horndeski gravity
• Non-invertible symmetries and boundaries in four dimensions
• Entanglement entropy analysis of dyonic black holes using doubly holographic theory
• On the Dynamics in the AdS/BCFT Correspondence
• Looking at Shadows of Entanglement Wedges
• Mutual information of subsystems and the Page curve for Schwarzschild de-Sitter black hole
• A note on entanglement entropy and regularization in holographic interface theories
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Is boundary conformal in CFT?
• Marginal deformations and defect anomalies
• Casimir Effect, Weyl Anomaly and Displacement Operator in Boundary Conformal Field Theory
• Regularizations of Action-Complexity for a Pure BTZ Black Hole Microstate
• Free energy and defect $C$-theorem in free fermion
• Action complexity in the presence of defects and boundaries
• AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: holographic paramagnetism/ferromagnetism phase transition
• Boundary-corner entanglement for free bosons
• Holographic Coarse-Graining: Correlators from the Entanglement Wedge and Other Reduced Geometries
• Interacting conformal scalar in a wedge
• Effective Action, Spectrum and First Law of Wedge Holography
• Boundary entropy under ambient RG flow in the AdS/BCFT model
• Holographic CFTs on maximally symmetric spaces: correlators, integral transforms and applications
• Mutual Information of Generalized Free Fields
• Finite size effect on dynamical entanglement entropy: CFT and holography
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
• On shape dependence of holographic entanglement entropy in AdS4/CFT3 with Lifshitz scaling and hyperscaling violation
• The Conformal Anomaly in bCFT from Momentum Space Perspective
• Ghost Problem, Spectrum Identities and Various Constraints on Brane-localized Gravity
• Chern-Simons Gravity Dual of BCFT
• Holographic Entanglement Entropy in Boundary Quantum Field Theory
• Negative energy enhancement in layered holographic conformal field theories
• One-Loop Correction to the AdS/BCFT Partition Function in the Three Dimensional Pure Gravity
• Black holes Entangled by Radiation
• Defect Localized Entropy: Renormalization Group and Holography
• Boundary String Current & Weyl Anomaly in Six-dimensional Conformal Field Theory
• Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background Flux
• Boundary Anomalies and Correlation Functions
• Cone Holography with Neumann Boundary Conditions and Brane-localized Gauge Fields
• Entanglement inside a black hole before the Page time
• Entanglement Entropy Inequalities in BCFT by Holography
• Comparing top-down and bottom-up holographic defects and boundaries
• Supersymmetric Graphene on Squashed Hemisphere
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT
• Bootstrapping Boundaries and Branes
• Quench Disorder and Scalar Field Theory in the Presence of Boundary
• Entanglement and Excitations in Gauge/Gravity Duality
• Entanglement C-functions of defects and interfaces in $\mathcal{N}=4$ supersymmetric Yang-Mills theory
• Scale without Conformal Invariance in bottom-up Holography
• Bubble quenches in the AdS/BCFT model
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair