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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ArXiv ePrint: 1807.04294
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Harper, J., Headrick, M. & Rolph, A. Bit threads in higher-curvature gravity. J. High Energ. Phys. 2018, 168 (2018). https://doi.org/10.1007/JHEP11(2018)168
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DOI: https://doi.org/10.1007/JHEP11(2018)168