Course grained entropy and causality in Ads/CFT Seminar

Abstract:
While the emergence of bulk locality in AdS/CFT is not fully understood, progress has been made towards understanding how pieces of the bulk geometry are encoded in subregions of the CFT. Recently, Hubeny and Rangamani have proposed that a modification of the Ryu-Takayanagi entropy called the 'causal holographic information' (so called because extremal surfaces are replaced with causal boundaries) quantifies the minimum information needed to reconstruct certain causally defined bulk regions. I will argue that the boundary dual of the causal holographic information is a coarse-grained entropy which tracks the one-point functions in the associated boundary domain of dependence. The talk will focus on the motivation and evidence for this conjecture as well the prospects for future precision tests.