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CATEGORIES:DAMTP Friday GR Seminar
SUMMARY:Gravitation from Entanglement - Mark Van Raamsdonk
(University of British Columbia)
DTSTART;TZID=Europe/London:20140131T130000
DTEND;TZID=Europe/London:20140131T140000
UID:TALK50480AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/50480
DESCRIPTION:Entanglement entropy obeys a 'first law'\, an exac
t quantum generalization of the ordinary first law
of thermodynamics. In any CFT with a semiclassica
l holographic dual\, this first law has an interpr
etation in the dual gravitational theory as a cons
traint on the spacetimes dual to CFT states. For s
mall perturbations around the CFT vacuum state\, w
e show that the set of such constraints for all ba
ll-shaped spatial regions in the CFT is exactly eq
uivalent to the requirement that the dual geometry
satisfy the gravitational equations of motion\, l
inearized about pure AdS.\nFor theories with entan
glement entropy computed by the Ryu-Takayanagi for
mula S=A/(4G)\, we obtain the linearized Einstein
equations. For theories in which the vacuum entang
lement entropy for a ball is computed by more gene
ral Wald functionals\, we obtain the linearized eq
uations for the associated higher-curvature theori
es.
LOCATION:Pavilion B Potter Room (B1.19)
CONTACT:Helvi Witek
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