Non-Locality induces Isometry and Factorisation in Holography

by Jonathan Karl (Würzburg University)

Wednesday 22 Jan 2025, 15:00 → 17:00 Europe/Berlin

In this talk we investigate two manifestations of the black hole information paradox, namely the non-isometric nature of the bulk-boundary map and the factorisation puzzle. By considering a specific class of mirostates of the eternal black hole, given by time-shifted thermofield double states, we demonstrate that both these puzzles may be simultaneously resolved by taking into account non local quantum corrections. These corrections 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, which naturally acts on a factorized Hilbert space.