Bit threads in higher-curvature gravity

Harper, Jonathan; Headrick, Matthew; Rolph, Andrew

doi:10.1007/jhep11(2018)168

Title: Bit threads in higher-curvature gravity

Journal Article · 26 November 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep11(2018)168 · OSTI ID:1611290

^[1]; Headrick, Matthew ^[2];

^[3]

Brandeis Univ., Waltham, MA (United States); DOE/OSTI
Brandeis Univ., Waltham, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Brandeis Univ., Waltham, MA (United States)

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.

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Research Organization:: Brandeis Univ., Waltham, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Simons Foundation

Grant/Contract Number:: SC0009987

OSTI ID:: 1611290

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (9)

Entanglement entropy and superselection sectors. Part I. Global symmetries Casini, Horacio; Huerta, Marina; Magán, Javier M. Journal of High Energy Physics, Vol. 2020, Issue 2 https://doi.org/10.1007/jhep02(2020)014	journal	February 2020
Geometric aspects of holographic bit threads Agón, Cesar A.; de Boer, Jan; Pedraza, Juan F. Journal of High Energy Physics, Vol. 2019, Issue 5 https://doi.org/10.1007/jhep05(2019)075	journal	May 2019
The connection between holographic entanglement and complexity of purification Ghodrati, Mahdis; Kuang, Xiao-Mei; Wang, Bin Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/jhep09(2019)009	journal	September 2019
Holographic entanglement contour, bit threads, and the entanglement tsunami Kudler-Flam, Jonah; MacCormack, Ian; Ryu, Shinsei Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 32 https://doi.org/10.1088/1751-8121/ab2dae	journal	July 2019
Hyperbolic fracton model, subsystem symmetry, and holography. II. The dual eight-vertex model Yan, Han Physical Review B, Vol. 100, Issue 24 https://doi.org/10.1103/physrevb.100.245138	journal	December 2019
Geometric Aspects of Holographic Bit Threads Agón, Cesar A.; de Boer, Jan; Pedraza, Juan F. arXiv https://doi.org/10.48550/arxiv.1811.08879	text	January 2018
Holographic entanglement contour, bit threads, and the entanglement tsunami Kudler-Flam, Jonah; MacCormack, Ian; Ryu, Shinsei arXiv https://doi.org/10.48550/arxiv.1902.04654	text	January 2019
Entanglement entropy and superselection sectors I. Global symmetries Casini, Horacio; Huerta, Marina; Magan, Javier M. arXiv https://doi.org/10.48550/arxiv.1905.10487	text	January 2019
Hyperbolic Fracton Model, Subsystem Symmetry, and Holography II: The Dual Eight-Vertex Model Yan, Han arXiv https://doi.org/10.48550/arxiv.1906.02305	text	January 2019

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