Bulk volumes from CFT within the AdS/CFT Correspondence
by
Christian Northe(Univ. Wuerzburg)
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Europe/Berlin
313 (MPI Meeting rooms)
313
MPI Meeting rooms
Description
We consider volumes caught underneath of Ryu-Takayanagi surfaces (subregion complexity) within the AdS3CFT2 correspondence. Using the Gauss-Bonnet theorem we evaluate this quantity for specific examples. In particular, we find a discontinuity when there is a change in the RT surface, given by a topological contribution. There is no further temperature dependence of these volumes. We further propose a CFT expression for these types of volumes, and use it to reproduce some of our explicit gravity results. We thus obtain and discuss a concrete matching of results for volumes situated in constant time slices of AdS3 between gravity and CFT expressions.
