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arXiv · 1807.04294

Bit Threads in Higher Curvature Gravity

Jonathan Harper·Matthew Headrick·Andrew Rolph
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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.

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Jonathan Harper, Matthew Headrick, Andrew Rolph. 2018-07-11. Bit Threads in Higher Curvature Gravity. https://doi.org/10.1007/jhep11(2018)168

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