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SUMMARY:Exploring the BTZ bulk with boundary conformal blocks - Monica Gui
 că\, Nordita
DTSTART:20160505T120000Z
DTEND:20160505T130000Z
UID:TALK65636@talks.cam.ac.uk
CONTACT:Dr. Piotr Tourkine
DESCRIPTION:We point out a simple relation between the bulk field at an ar
 bitrary radial position and the boundary OPE\, by placing some old work by
  Ferrara\, Gatto\, Grillo and Parisi in the AdS/CFT context. This gives us
 \, in principle\, a prescription for extracting the classical bulk field f
 rom the boundary conformal block\, and also clarifies why the latter is co
 mputed by a geodesic Witten diagram. We apply this prescription to the BTZ
  black hole - viewed as a pure state created by the insertion of a heavy o
 perator in the boundary CFT_2 - and use it to relate a classical field in 
 the bulk to a heavy-light Virasoro conformal block in the boundary. In par
 ticular\, we obtain a relation between the radial bulk position and the co
 nformal ratios in the boundary CFT. We use this to show that the singular 
 points of the radial bulk equation occur when the dual boundary operators 
 approach each other and that the associated bulk monodromies map to monodr
 omies of the (appropriately transformed) conformal block\, thus providing 
 a CFT interpretation of the radial monodromy.
LOCATION:Potter Room (first floor\, Pav. B)
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