BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Minimal areas from entangled matrices
DTSTART:20241118T140000
DTEND:20241118T150000
DTSTAMP:20260410T114543Z
UID:90db6dbf831277a43b404623b297ba5918291eb70848815ee9eac512
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sean Hartnoll (University of Cambridge)\nAbstract:\nIn hologra
 phic models of gravity\, space emerges from the quantum mechanics of large
  N matrices. Perhaps the simplest instance of this phenomenon are states d
 escribed by non commutative geometries. In these states diffeomorphisms ar
 ise as the N -> infinity limit of the U(N) gauge symmetry of the matrix th
 eory. I will demonstrate that in such states there is a direct connection 
 between microscopic (matrix) entanglement and geometry. I will define a U(
 N)-invariant notion of entanglement entropy in matrix quantum mechanics\, 
 associated essentially to all M x M sub-blocks of the matrices of fixed si
 ze M < N. I will show that this entanglement entropy is given by the area 
 of a minimal surface. This formula has a strong resemblance to the Ryu-Tak
 ayanagi entropy in semiclassical gravitational theories.\n\n 
LOCATION:BSP 727 https://plan.epfl.ch/?room==BSP%20727 https://epfl.zoom.u
 s/j/69362612859
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR