Mutual information and the \(F\)-theorem
From MaRDI portal
Publication:2635922
DOI10.1007/JHEP10(2015)003zbMath1388.81075arXiv1506.06195OpenAlexW1846387892MaRDI QIDQ2635922
Alexandre Yale, Robert C. Myers, Horacio Casini, Marina Huerta
Publication date: 31 May 2018
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06195
topological field theoriesrenormalization groupfield theories in lower dimensionsconformal and W symmetry
Related Items
Comments on defining entanglement entropy ⋮ Entanglement and RG in the \(O(N)\) vector model ⋮ Holographic RG flows, entanglement entropy and the sum rule ⋮ Entropy production, viscosity bounds and bumpy black holes ⋮ Entanglement, holography and causal diamonds ⋮ Modular Hamiltonians for deformed half-spaces and the averaged null energy condition ⋮ Corner contributions to holographic entanglement entropy ⋮ Universal corner entanglement from twist operators ⋮ On shape dependence of holographic entanglement entropy in \(\mathrm{AdS}_{4}/CFT_{3}\) ⋮ On the shape dependence of entanglement entropy ⋮ Holographic mutual information for singular surfaces ⋮ Universal entanglement for higher dimensional cones ⋮ All the entropies on the light-cone ⋮ The reflected entanglement spectrum for free fermions ⋮ Entanglement entropy and superselection sectors. I: Global symmetries ⋮ Fusion of conformal defects in interacting theories ⋮ A holographic derivation of the weak gravity conjecture ⋮ Defect localized entropy: renormalization group and holography ⋮ Modular Hamiltonian in the semi infinite line. II: Dimensional reduction of Dirac fermions in spherically symmetric regions ⋮ Black hole singularity, generalized (holographic) \(c\)-theorem and entanglement negativity ⋮ Relative entropy and the RG flow ⋮ Shape dependence of mutual information in the OPE limit: linear responses ⋮ Modular Hamiltonian of the scalar in the semi infinite line: dimensional reduction for spherically symmetric regions ⋮ Universality in the tripartite information after global quenches: (generalised) quantum XY models ⋮ Holographic relative entropy in infinite-dimensional Hilbert spaces ⋮ Entanglement in Lifshitz-type quantum field theories ⋮ Aspects of \(N\)-partite information in conformal field theories ⋮ Mutual information of excited states and relative entropy of two disjoint subsystems in CFT ⋮ Novel aspects of the extended first law of entanglement ⋮ Holographic RG flows on curved manifolds and the \(F\)-theorem ⋮ Entanglement at a scale and renormalization monotones ⋮ Information flows in strongly coupled ABJM theory ⋮ Entanglement negativity in a two dimensional harmonic lattice: area law and corner contributions ⋮ Entanglement entropy and mutual information of circular entangling surfaces in the 2 + 1-dimensional quantum Lifshitz model ⋮ Two-cylinder entanglement entropy under a twist ⋮ Holographic studies of Einsteinian cubic gravity ⋮ The dual of non-extremal area: differential entropy in higher dimensions ⋮ Generalizing the entanglement entropy of singular regions in conformal field theories ⋮ A canonical purification for the entanglement wedge cross-section ⋮ Fusion of conformal defects in four dimensions ⋮ Renormalized AdS gravity and holographic entanglement entropy of even-dimensional CFTs ⋮ Relative entropy and holography ⋮ Losing the IR: a holographic framework for area theorems ⋮ Reflected entropy, symmetries and free fermions ⋮ Quantum broadcast channels with cooperating decoders: An information-theoretic perspective on quantum repeaters ⋮ A general proof of the quantum null energy condition ⋮ Entanglement of a chiral fermion on the torus ⋮ Higher-derivative holography with a chemical potential
Cites Work
- Holographic entanglement entropy for general higher derivative gravity
- Generalized entropy and higher derivative gravity
- On entanglement entropy functionals in higher-derivative gravity theories
- Minimal surfaces and entanglement entropy in anti-de Sitter space
- Twist operators in higher dimensions
- Sphere partition functions and the Zamolodchikov metric
- The \(a\)-theorem and the asymptotics of 4D quantum field theory
- RG flows in \(d\) dimensions, the dilaton effective action, and the \(a\)-theorem
- Observations on entanglement entropy in massive QFT's
- A refinement of entanglement entropy and the number of degrees of freedom
- Entanglement entropy of 3-d conformal gauge theories with many flavors
- Comments on holographic entanglement entropy and RG flows
- Rényi entropies for free field theories
- F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
- A finite entanglement entropy and the c-theorem
- Towards a derivation of holographic entanglement entropy
- Holographic entanglement entropy: near horizon geometry and disconnected regions
- Towards the \(F\)-theorem: \( \mathcal{N} = 2 \) field theories on the three-sphere
- Holographic entanglement entropy in Lovelock gravities
- Some calculable contributions to holographic entanglement entropy
- Comments on 3d Seiberg-like dualities
- \(F\)-theorem without supersymmetry
- Z-extremization and F-theorem in Chern-Simons matter theories
- Holographic c-theorems in arbitrary dimensions
- Relative entropy and holography
- Generalized gravitational entropy
- Universal terms for the entanglement entropy in \(2+1\) dimensions
- Entanglement entropy, conformal invariance and extrinsic geometry
- Entanglement entropy for a Dirac fermion in three dimensions: vertex contribution
- Quantum field theory and the Jones polynomial
- Relative entropy of states of von Neumann algebras
- Théoremes de comparaison en géométrie Riemannienne
- On shape dependence of holographic mutual information in \(\mathrm{AdS}_{4}\)
- Interpolating between \(a\) and \(F\)
- The constraints of conformal symmetry on RG flows
- On renormalization group flows and the \(a\)-theorem in 6d
- Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories
- Is renormalized entanglement entropy stationary at RG fixed points?
- Positivity, entanglement entropy, and minimal surfaces
- Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
- The thermodynamics of quantum systems and generalizations of Zamolodchikov's \(C\)-theorem
- Geometric and renormalized entropy in conformal field theory
- F-maximization along the RG flows: a proposal
- On renormalization group flows in four dimensions
- From necklace quivers to the \(F\)-theorem, operator counting, and \(T(\operatorname{U}(N))\)
- Holographic calculations of Rényi entropy
- A note on the resolution of the entropy discrepancy
- Large \(N\) field theories, string theory and gravity
- Holographic entanglement entropy for the most general higher derivative gravity
- Corner contributions to holographic entanglement entropy
- Universal terms of entanglement entropy for 6d CFTs
- Some results on the mutual information of disjoint regions in higher dimensions
- Quantum entanglement
- Entropy for quantum fields in curved space time
- Quantum source of entropy for black holes
- On strong-coupling correlation functions of circular Wilson loops and local operators
- Area Laws in Quantum Systems: Mutual Information and Correlations
- Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
- Entanglement entropy and quantum field theory
- Mutual information challenges entropy bounds
- Entanglement entropy in free quantum field theory
- The Heat Kernel on Hyperbolic Space
- Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
- Entropy and area
- Entanglement entropy in scalar field theory
- S-duality of boundary conditions and the Geometric Langlands program
- Quantum Fields in Curved Space
- New constraints on chiral gauge theories
- Wilson loop correlator in the AdS/CFT correspondence
