Partial Entanglement Network and Geometry Reconstruction in AdS/CFT

Explore a groundbreaking scheme for geometrizing partial entanglement entropy (PEE) in AdS/CFT on a time slice across multiple dimensions in this hour-long conference talk. Delve into the concept of PEE threads, represented by bulk geodesics, and discover how their density is determined by physical PEE requirements. Examine the formation of a PEE thread network in the bulk and learn how the RT surface for any region A in holographic CFT is identified as the homologous surface with minimal PEE thread flux. Investigate the interpretation of bulk geometric quantities using PEE threads and consider the implications of the PEE network as a tensor network with a well-defined continuous limit. Contemplate the potential applications of the PEE network in developing tensor network models for quantum gravity.