Entanglement entropy of excited states in conformal perturbation theory and the Einstein equation

DOI10.1007/JHEP04(2016)105zbMath1388.83029arXiv1602.01380MaRDI QIDQ1638562

Antony J. Speranza

Publication date: 12 June 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01380

zbMATH Keywords

gauge-gravity correspondenceconformal and W symmetrymodels of quantum gravity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (12)

Comments on Jacobson's ``Entanglement equilibrium and the Einstein equation ⋮ Entanglement entropy from one-point functions in holographic states ⋮ Gravity from entanglement and RG flow in a top-down approach ⋮ Endpoint contributions to excited-state modular Hamiltonians ⋮ Zero modes and entanglement entropy ⋮ Generalized entropy for general subregions in quantum gravity ⋮ Thermodynamics of spacetime and unimodular gravity ⋮ Nonlinear gravity from entanglement in conformal field theories ⋮ Local phase space and edge modes for diffeomorphism-invariant theories ⋮ Linearized field equations of gauge fields from the entanglement first law ⋮ Linearized Einstein's equation around pure BTZ from entanglement thermodynamics ⋮ Quantum computational complexity, Einstein's equations and accelerated expansion of the Universe

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Holographic entanglement entropy for general higher derivative gravity
• Gravitation from entanglement in holographic CFTs
• Entanglement entropy, planar surfaces, and spectral functions
• A note on entanglement entropy, coherent states and gravity
• Entanglement entropy of a massive fermion on a torus
• Towards a derivation of holographic entanglement entropy
• Particle creation by black holes
• Relative entropy and holography
• Modular structure of the local algebras associated with the free massless scalar field theory
• Anti de Sitter space and holography
• Implications of conformal invariance in field theories for general dimensions
• Correlation functions in the \(\text{CFT}_d/\text{AdS}_{d+1}\) correspondence
• AdS/CFT correspondence and symmetry breaking
• A non-renormalization theorem for conformal anomalies
• Comments on Jacobson's ``Entanglement equilibrium and the Einstein equation
• Entanglement entropy for relevant and geometric perturbations
• All order I.R. finite expansion for short distance behavior of massless theories perturbed by a relevant operator
• Geometric and renormalized entropy in conformal field theory
• Entanglement entropy of black holes
• Bulk emergence and the RG flow of entanglement entropy
• 't Hooft suppression and holographic entropy
• Quantum source of entropy for black holes
• Entanglement entropy for non-coplanar regions in quantum field theory
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Reduced density matrix and internal dynamics for multicomponent regions
• Entropy and area
• Thermodynamics of Spacetime: The Einstein Equation of State
• Black hole entropy is the Noether charge
• Black Holes and Entropy

This page was built for publication: Entanglement entropy of excited states in conformal perturbation theory and the Einstein equation