Hyperthreads in holographic spacetimes
arXiv:2107.10276 · doi:10.1007/JHEP09(2021)118
Abstract
We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a "-thread" to be a hyperthread which connects different boundary regions and posit that it may be considered as a unit of -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 -threads, motivating a possible measure of multipartite entanglement. We use this to make connections to the current understanding of multipartite entanglement in holographic spacetimes.
arXiv comment25 pages, 10 figures. v2: Added example of one-sided black hole. Published version
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