Bit Threads in Higher Curvature Gravity

Abstract

We generalize holographic bit threads to bulk theories with a gravitational action containing higher-curvature terms. Bit threads are a reformulation of holographic entanglement entropy, where the entropy is given by the maximum number of threads emanating from a boundary region into the bulk. We show that the addition of higher-curvature terms adds corrections to the bit thread thickness that depend on the local geometry and thread orientation. Two different methods are given: determination of the density bound by requiring the maximum number of threads through a given surface to reproduce the entanglement entropy functional on that surface, and application of Lagrange dualization. The results of the two methods are applied to Gauss-Bonnet gravity as the simplest non-trivial example.

arXiv comment32 pages, 2 figures, v2: minor improvements to presentation, references added, published version

References in corpus (15)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entropy of Lovelock Black Holes
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• Generalized entropy and higher derivative Gravity
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Holographic Entanglement Entropy in Lovelock Gravities
• Bit threads and holographic entanglement
• On generalized gravitational entropy, squashed cones and holography
• Entanglement entropy in higher derivative holography
• Riemannian and Lorentzian flow-cut theorems
• On entanglement entropy functionals in higher derivative gravity theories
• Note on generalized gravitational entropy in Lovelock gravity
• Conditions on holographic entangling surfaces in higher curvature gravity
• Higher Curvature Gravity from Entanglement in Conformal Field Theories
• Holographic Entanglement Entropy, Field Redefinition Invariance and Higher Derivative Gravity Theories

Cited by in corpus (29)

• Geometric Aspects of Holographic Bit Threads
• Entanglement entropy and superselection sectors I. Global symmetries
• Holographic entanglement contour, bit threads, and the entanglement tsunami
• Quantum Information in Holographic Duality
• Sewing spacetime with Lorentzian threads: complexity and the emergence of time in quantum gravity
• The connection between holographic entanglement and complexity of purification
• Lorentzian threads as 'gatelines' and holographic complexity
• Bulk locality and cooperative flows
• Bit threads and holographic entanglement of purification
• Bit threads, Einstein's equations and bulk locality
• Covariant bit threads
• The PEE aspects of entanglement islands from bit threads
• Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model
• Quantum bit threads
• Holographic entanglement entropy for perturbative higher-curvature gravities
• Inequalities of Holographic Entanglement of Purification from Bit Threads
• Geometrizing the Partial Entanglement Entropy: from PEE Threads to Bit Threads
• Quantum bit threads and holographic entanglement
• Thread/State correspondence: from bit threads to qubit threads
• Holographic thermal entropy from geodesic bit threads
• Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
• Improved proof-by-contraction method and relative homologous entropy inequalities
• Bit Threads and the Membrane Theory of Entanglement Dynamics
• Towards bit threads in general gravitational spacetimes
• Island mirages
• Weaving the (AdS) spaces with partial entanglement entropy threads
• Bit Threads: From Entanglement to Geometric Entropies
• de Sitter Entanglement and Conformal Description of the Cosmological Horizon
• Entanglement entropy in cubic gravitational theories