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CATEGORIES:Quantum Fields and Strings Seminars
SUMMARY:Holographic entanglement and quantum gravity in fi
nite regions - William Donnelly (Perimeter)
DTSTART;TZID=Europe/London:20191024T130000
DTEND;TZID=Europe/London:20191024T140000
UID:TALK131104AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/131104
DESCRIPTION:The TT̄ deformation of two-dimensional holographic
conformal field theory is conjectured to be dual
to quantum gravity in a finite region of three-dim
ensional anti-de Sitter spacetime. We study entang
lement entropy in this theory and its relation to
quantum fluctuations of the dual geometry. We deri
ve the correspondence between the TT̄ flow equatio
n and the Wheeler-DeWitt equation with a negative
cosmological constant. By fixing the resulting eme
rgent diffeomorphism symmetry\, we obtain a differ
ential equation for the sphere partition function
which can be solved exactly. The solution can be e
xpressed as a Euclidean path integral along a part
icular complex contour. We then apply this result
to study entanglement entropy of the boundary theo
ry for an entangling surface consisting of two ant
ipodal points on the sphere. The entanglement entr
opy gives the Ryu-Takayanagi formula for a geodesi
c in a finite region plus quantum corrections. We
suggest an interpretation of the latter as entropy
of fluctuations of the bulk geodesic length\, in
accordance with the proposal of Faulkner\, Lewkowy
cz\, and Maldacena.\n\nBased on arXiv:1909.11402 w
ith E. LePage\, Y. Li\, A. Pereira and V. Shyam.
LOCATION:Potter Room (first floor\, Pav. B)
CONTACT:Dr. Carl Turner
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