Qiang Wen: Partial entanglement network and geometry reconstruction in AdS/CFT скачать в хорошем качестве

Qiang Wen: Partial entanglement network and geometry reconstruction in AdS/CFT

We give a scheme to geometrize the partial entanglement entropy (PEE) in AdS/CFT on a time slice in generic dimensions. More explicitly, the two point PEE is represented by bulk geodesics, which we call the PEE threads. The density of the PEE threads is determined by the physical requirement of PEE. The PEE threads forms a network in the bulk. We show that, for any region A in holographic CFT, the homologous surface in the bulk with the minimal flux of PEE threads passing through it is exactly the RT surface. Furthermore, any line segment or area elements in the bulk can be interpreted as the PEE threads passing through them. This gives a generic scheme to reconstruct bulk geometric quantities using the PEE. More interestingly, the network of the PEE threads plays a role as a tensor network, which has a well-defined continue limit. It will be interesting to use the PEE network to build tensor network models for quantum gravity.