Non-Locality induces Isometry and Factorisation in Holography

          @misc{ scivideos_PIRSA:25030064,
            doi = {10.48660/25030064},
            url = {https://pirsa.org/25030064},
            author = {Erdmenger, Johanna},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Non-Locality induces Isometry and Factorisation in Holography},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2025},
            month = {mar},
            note = {PIRSA:25030064 see, \url{https://scivideos.org/pirsa/25030064}}
          }
          

Abstract

Within the AdS/CFT correspondence, two manifestations of the black hole information paradox are given by the nonisometric nature of the bulk-boundary map and by the factorisation puzzle. By considering timeshifted microstates of the eternal black hole, we demonstrate that both these puzzles may be simultaneously resolved by taking into account non-local quantum corrections that correspond to wormholes arising from state averaging. This is achieved by showing, using a resolvent technique, that the resulting Hilbert space for an eternal black hole in Anti-de Sitter space is finite-dimensional with a discrete energy spectrum. The latter gives rise to a transition to a type I von Neumann algebra. Talk based on 2411.09616.