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.
Journal of High Energy Physics
- Pub Date:
- September 2021
- AdS-CFT Correspondence;
- Classical Theories of Gravity;
- High Energy Physics - Theory
- 25 pages, 10 figures. v2: Added example of one-sided black hole. Published version