Berry phases, wormholes and factorization in AdS/CFT [Remote talk]

par Johanna Erdmenger (Julius-Maximilians-Universitaet Wuerzburg)

jeudi 21 avr. 2022, 11:00 → 12:00 Europe/Paris

Within the AdS/CFT correspondence, the entanglement properties of the
CFT are related to wormholes in the dual gravity theory. This gives rise
to questions about the factorisation properties of the Hilbert spaces on
both sides of the correspondence.  We review these issues and show how
the Berry phase, a geometrical phase encoding information about
topology, may be used to reveal similarities between the Hilbert space
structure  on both sides of the correspondence. Mathematical concepts
such as coadjoint orbits play an important role. In addition to its
relevance for quantum gravity, this analysis also suggests how to
experimentally realise the Berry phase and its relation to entanglement
in table-top experiments involving photons or electrons. This provides a
new example for relations between very different branches of physics
that follow from the AdS/CFT correspondence and its generalisations.