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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Entanglement entropy in higher spin theories - de
Boer\, J (Universiteit van Amsterdam)
DTSTART;TZID=Europe/London:20130918T140000
DTEND;TZID=Europe/London:20130918T144500
UID:TALK47205AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/47205
DESCRIPTION:A holographic correspondence has been recently dev
eloped between higher spin theories in three-dimen
sional anti-de Sitter space (AdS_3) and two-dimens
ional Conformal Field Theories (CFTs) with extende
d symmetries. A class of such dualities involves S
L(N\,R) imes SL(N\,R) Chern-Simons gauge theories
in the (2+1)-dimensional bulk spacetime\, and CFTs
with W_N symmetry algebras on the (1+1)-dimension
al boundary. The topological character of the Cher
n-Simons theory forces one to reconsider standard
geometric notions such as black hole horizons and
entropy\, as well as the usual holographic diction
ary. Motivated by this challenge\, in this note we
present a proposal to compute entanglement entrop
y in the W_N CFTs via holographic methods. In part
icular\, we introduce a functional constructed fro
m Wilson lines in the bulk Chern-Simons theory tha
t captures the entanglement entropy in the CFTs du
al to standard AdS_3 gravity\, corresponding to SL
(2\,R) imes SL(2\,R) gauge group\, and admits an i
mmediate generalization to the higher spin case. W
e explicitly evaluate this functional for several
known solutions of the Chern-Simons theory\, inclu
ding charged black holes dual to thermal CFT state
s carrying higher spin charge\, and show that it r
eproduces expected features of entanglement entrop
y\, study whether it obeys strong subadditivity\,
and moreover show that it reduces to the thermal e
ntropy in the appropriate limit.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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