Hyperthreads in holographic spacetimes

A bstract 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.