Scanning spacetime with patterns of entanglement

Rövid cím: 
Scanning spacetime with patterns of entanglement
Időpont: 
2021. 03. 05. 10:15
Hely: 
online (Teams)
Előadó: 
Bercel Boldis (BME)
Recently interesting new approaches have appeared dealing with the challenge of representing
inherently quantum phenomena in a classical geometric manner. In particular a connection has been established between the properties of geodesics of an asymptotically anti de-Sitter (AdS) space and the quantum information theoretic quantities of certain regions in a two dimensional Conformal Field Theory (CFT) living on its boundary.
In my presentation I review the static case of the AdS3/CFT2 correspondence. I establish a connection between the geodesics of pure AdS3 space and the boundary quantities characterizing entanglement patterns of the CFT vacuum. I also introduce the space of geodesics, the so-called kinematic space, and explain how the entropic quantities are realized there. Especially working with geodesic N-gons I show that the mutations of their triangulations give rise to a cluster algebraic structure of these polygons [1]. It turns out that this structure can be illustrated as a walk of N-3 particles in the kinematic space.
Finally using the ABHY construction, featuring Dynkin diagrams, I describe and visualize this walk [2].
 
[1] P. Lévay, B. Boldis, Scanning-Spacetime with patterns of entanglement, Physical Review D101,
066021 (2020)
[2] B. Boldis, Entanglement patterns realized as walks in kinematic space, Student Research Societies
(TDK) (2020).