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arXiv · 2107.10276

Hyperthreads in holographic spacetimes

Jonathan Harper
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Abstract

We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a "$k$-thread" to be a hyperthread which connects $k$ different boundary regions and posit that it may be considered as a unit of $k$-party entanglement. Using this new object, we show that the contribution of hyperthreads to calculations of holographic entanglement entropy are generically finite. This is accomplished by constructing a surface whose area determines their maximum allowed contribution. We also identify surfaces whose area is proportional to the maximum number of $k$-threads, motivating a possible measure of multipartite entanglement. We use this to make connections to the current understanding of multipartite entanglement in holographic spacetimes.

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Jonathan Harper. 2021-07-21. Hyperthreads in holographic spacetimes. https://doi.org/10.1007/jhep09(2021)118

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