Speaker
Description
Holographic transport and reconstruction properties as in the AdS/CFT correspondence are conjectured to be a key ingredient in characterising physical states of quantum gravity. With the goal of characterising states in the Hilbert space of spin networks with holographic properties, we extend the usual quantum informational notion of Jamiolkowski-Pillis-Choi channels to the setting of algebras with nontrivial center. With this tool, we define bulk and boundary subsystems of spin networks and study mappings between them induced by states of quantum geometry. Using developments from Random tensor network theory, we can then analyse criteria for typical states to induce holographic maps, and study some of their geometric properties. OR The building blocks of a Group Field Theory are, by their conceptual definition, finite chunks of space with boundary. Therefore, the study of finite size boundary effects in gravity is crucial to understand the composition of these chunks into larger spaces. In this talk, I review the basic kinds of effects that become relevant when boundaries are present, highlight which of these are already naturally incorporated within the GFT framework, and point out some possible extensions to it.
