Berry phases and von Neumann algebras for wormholes in AdS/CFT

21 May 2025, 16:50
40m
ECAP Laboratory Building

ECAP Laboratory Building

Nikolaus-Fiebiger-Straße 2 91058 Erlangen
invited talk Session 4

Speaker

Johanna Erdmenger

Description

Within the AdS/CFT correspondence, two manifestations of the black hole information paradox are given by the non-isometric nature of the bulk-boundary map and by the factorisation puzzle. By considering time-shifted 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. Based on 2411.09616.

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