Speaker: Johanna Erdmenger (Universität Würzburg)

Title: Geometric phases, von Neumann algebras and AdS/CFT

Abstract:
I will explain how geometric phases may be used to characterize the entanglement properties of eternal black holes in AdS/CFT. Geometric phases provide a neat formulation of the factorization puzzle for the Hilbert spaces in the gravity theory and dual field theory. We show that a vanishing geometric phase implies the existence of a well-defined trace functional on the associated von Neumann algebra. We consider the example of Virasoro Berry phases in particular. We find that similar algebraic structures are also realized in simple spin systems. In addition to its relevance for quantum gravity, this analysis therefore also suggests how to experimentally realise geometric phases and its relation to entanglement in table-top experiments. This provides a new example for relations between very different branches of physics that follow from the AdS/CFT correspondence and its generalizations. Based on 2109.06190 , 2202.11717 and 2306.00055

This talk will be in hybrid mode via zoom, please contact the seminar organisers to obtain the password.

To receive seminar announcements via email, please request a subscription to the mailing list qft-seminars-physics. This is done by sending an email to sympa@lists.hu-berlin.de with subject line “subscribe qft-seminars-physics FIRSTNAME LASTNAME”.