PIRSA:21120012

Holographic entanglement in spin network states: bulk-to-boundary isometries and horizon-like regions from volume correlations

Colafranceschi, E. (2021). Holographic entanglement in spin network states: bulk-to-boundary isometries and horizon-like regions from volume correlations. Perimeter Institute. https://pirsa.org/21120012

Colafranceschi, Eugenia. Holographic entanglement in spin network states: bulk-to-boundary isometries and horizon-like regions from volume correlations. Perimeter Institute, Dec. 02, 2021, https://pirsa.org/21120012 

          @misc{ pirsa_PIRSA:21120012,
            doi = {10.48660/21120012},
            url = {https://pirsa.org/21120012},
            author = {Colafranceschi, Eugenia},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Holographic entanglement in spin network states: bulk-to-boundary isometries and horizon-like regions from volume correlations},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {dec},
            note = {PIRSA:21120012 see, \url{https://pirsa.org}}
          }

Eugenia Colafranceschi

University of California, Santa Barbara

Talk number
PIRSA:21120012
Collection
Talk Type
Subject
Abstract

For quantum gravity states associated to open spin network graphs, we study how the boundary (the set of open edges, which carries spin degrees of freedom) is affected by the bulk, specifically by its combinatorial structure and by the quantum correlations among the intertwiners. In particular, we determine under which conditions certain classes of quantum gravity states map bulk degrees of freedom into boundary ones isometrically (which is a necessary condition for holography). We then look at the entanglement entropy of the boundary and recover, for slightly entangled intertwiners, the Ryu-Takayanagi formula with corrections induced by the entanglement entropy of the bulk state. We also show that the presence of a region with highly entangled intertwiners deforms the minimal-area surface, which is prevented from entering that region when the entanglement entropy of the latter exceeds a certain bound, a mechanism which thus leads to the rise of a black hole-like region in the bulk.

Zoom Link: https://pitp.zoom.us/j/96356007543?pwd=U2VrRlhyOThMODdMYllDMnB6VjlZQT09