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CATEGORIES:Quantum Fields and Strings Seminars
SUMMARY:Exploring the BTZ bulk with boundary conformal blo
cks - Monica Guică\, Nordita
DTSTART;TZID=Europe/London:20160505T130000
DTEND;TZID=Europe/London:20160505T140000
UID:TALK65636AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/65636
DESCRIPTION:We point out a simple relation between the bulk fi
eld at an arbitrary radial position and the bounda
ry OPE\, by placing some old work by Ferrara\, Gat
to\, Grillo and Parisi in the AdS/CFT context. Thi
s gives us\, in principle\, a prescription for ext
racting the classical bulk field from the boundary
conformal block\, and also clarifies why the latt
er is computed by a geodesic Witten diagram. We ap
ply this prescription to the BTZ black hole - view
ed as a pure state created by the insertion of a h
eavy operator in the boundary CFT_2 - and use it t
o relate a classical field in the bulk to a heavy-
light Virasoro conformal block in the boundary. In
particular\, we obtain a relation between the rad
ial bulk position and the conformal ratios in the
boundary CFT. We use this to show that the singula
r points of the radial bulk equation occur when th
e 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 th
e radial monodromy.
LOCATION:Potter Room (first floor\, Pav. B)
CONTACT:Dr. Piotr Tourkine
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