Bit threads in higher-curvature gravity
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13130_2018_Article_9476.pdf
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463.02 KB
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Author(s)
Harper, Jonathan
Rolph, Andrew
Headrick, Matthew P
Date Issued
November 2018
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Harper, Jonathan, Matthew Headrick and Andrew Rolph. "Bit threads in higher-curvature gravity." Journal of High Energy Physics (November 2018) 2018: 168.
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2018)168
