Information metric on the boundary
arXiv:2212.10899 · doi:10.1007/JHEP05(2023)013
Abstract
The information metric on the space of boundary coupling constants in two-dimensional conformal field theories is studied. Such a metric is related to the Casimir energy difference of the theory defined on an interval. We concretely compute the information metric on the boundary conformal manifold of free boson CFT as well as SU(2)k WZW theory, obtaining the result expected from the symmetry of the systems. We also compute the information metric on the space of non-conformal boundary states produced by boundary mass perturbations in the theory of a real free scalar. The holographic dual of the boundary information metric in the context of AdS3/BCFT2 is also discussed. We argue that it corresponds to the area of the minimal cross section of the end-of-the-world brane connecting two boundaries of the asymptotic BCFTs.
arXiv comment31 pages
References in corpus (64)
- Time-dependence of correlation functions following a quantum quench
- The Page curve of Hawking radiation from semiclassical geometry
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Open and Closed String Interpretation of SUSY CFT's on Branes with Boundaries
- Holographic Dual of BCFT
- Some Exact Results on Tachyon Condensation in String Field Theory
- Aspects of AdS/BCFT
- Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
- Massive Islands
- Some Computations in Background Independent Open-String Field Theory
- The Worldsheet Dual of the Symmetric Product CFT
- On the Boundary Entropy of One-dimensional Quantum Systems at Low Temperature
- Entanglement islands in higher dimensions
- Holographic Geometry of Entanglement Renormalization in Quantum Field Theories
- Gravity Dual of Quantum Information Metric
- A Constraint on Defect and Boundary Renormalization Group Flows
- The g-theorem and quantum information theory
- Entanglement entropy in holographic moving mirror and Page curve
- Physics at the entangling surface
- Holographic Calculation of Boundary Entropy
- Three dimensional Janus and time-dependent black holes
- Towards a -theorem in defect CFT
- An alternative quantum fidelity for mixed states of qudits
- On Holographic Defect Entropy
- Fermionic minimal models
- g-function flow in perturbed boundary conformal field theories
- BCFT and Islands in Two Dimensions
- The conformal boundary states for SU(2) at level 1
- Near-horizon solutions for D3-branes ending on 5-branes
- Role of Short Distance Behavior in Off-Shell Open-String Field Theory
- Geometric secret sharing in a model of Hawking radiation
- D-Branes in the Background of NS Fivebranes
- CFT in AdS and boundary RG flows
- Irreversibility in quantum field theories with boundaries
- Holographic RG Flow on the Defect and g-Theorem
- Surface Defect, Anomalies and -Extremization
- Island for Gravitationally Prepared State and Pseudo Entanglement Wedge
- Boundary conformal field theory and symmetry protected topological phases in dimensions
- Holographic duals of Boundary CFTs
- Duality Defects in
- Exact half-BPS string-junction solutions in six-dimensional supergravity
- AdS/BCFT with Brane-Localized Scalar Field
- Defect -Theorem and -Maximization
- Fermionic CFTs and classifying algebras
- Simple holographic duals to boundary CFTs
- Brane Dynamics of Holographic BCFTs
- Entanglement Wedges from Information Metric in Conformal Field Theories
- Looking for (and not finding) a bulk brane
- The entropic -theorem in general spacetime dimension
- Boundary Superstring Field Theory Annulus Partition Function in the Presence of Tachyons
- The Spectrum of Boundary States in Symmetric Orbifolds
- Two More Fermionic Minimal Models
- Holographic BCFT with a Defect on the End-of-the-World Brane
- Spectrum of End of the World Branes in Holographic BCFTs
- Free energy and defect -theorem in free scalar theory
- Fermionization and boundary states in 1+1 dimensions
- Renyi relative entropies and renormalization group flows
- Fermionization of conformal boundary states
- On the Dynamics in the AdS/BCFT Correspondence
- Looking at Shadows of Entanglement Wedges
- Free energy and defect -theorem in free fermion
- Boundary RG Flows for Fermions and the Mod 2 Anomaly
- Free Fermion Cyclic/Symmetric Orbifold CFTs and Entanglement Entropy
- Holographic moving mirrors