Bit Threads in Higher Curvature Gravity

TL;DR

This paper extends the concept of holographic bit threads to higher-curvature gravity theories, showing how such terms modify thread thickness and providing methods to determine density bounds, with applications to Gauss-Bonnet gravity.

Contribution

It introduces a generalized framework for holographic bit threads in higher-curvature gravity, including two methods for determining density bounds and an application to Gauss-Bonnet gravity.

Findings

Higher-curvature terms modify bit thread thickness based on local geometry.

Two methods for determining density bounds are developed and compared.

Application to Gauss-Bonnet gravity demonstrates the framework's effectiveness.

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.