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SUMMARY:Entanglement entropy in higher spin theories - de Boer\, J (Univer
 siteit van Amsterdam)
DTSTART:20130918T130000Z
DTEND:20130918T134500Z
UID:TALK47205@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:A holographic correspondence has been recently developed betwe
 en higher spin theories in three-dimensional anti-de Sitter space (AdS_3) 
 and two-dimensional Conformal Field Theories (CFTs) with extended symmetri
 es. A class of such dualities involves SL(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)-dimensional boundary. The topological cha
 racter of the Chern-Simons theory forces one to reconsider standard geomet
 ric notions such as black hole horizons and entropy\, as well as the usual
  holographic dictionary. Motivated by this challenge\, in this note we pre
 sent a proposal to compute entanglement entropy in the W_N CFTs via hologr
 aphic methods. In particular\, we introduce a functional constructed from 
 Wilson lines in the bulk Chern-Simons theory that captures the entanglemen
 t entropy in the CFTs dual to standard AdS_3 gravity\, corresponding to SL
 (2\,R)	imes SL(2\,R) gauge group\, and admits an immediate generalization 
 to the higher spin case. We explicitly evaluate this functional for severa
 l known solutions of the Chern-Simons theory\, including charged black hol
 es dual to thermal CFT states carrying higher spin charge\, and show that 
 it reproduces expected features of entanglement entropy\, study whether it
  obeys strong subadditivity\, and moreover show that it reduces to the the
 rmal entropy in the appropriate limit.\n
LOCATION:Seminar Room 1\, Newton Institute
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