Theory Seminar

KEK Theory Seminar/Dr.Tadashi

Start:2017/05/23 (Tue) 3:30 PM
End:2017/05/23 (Tue) 4:30 PM
Location:Kenkyu-Honkan 1F, Meeting Room 1

Speaker:Dr.Tadashi Takayanagi(YITP/Kavli IPMU)
Lecture:AdS Space from Optimization of Euclidean Path-Integral in CFT
Contact:Shotaro Shiba/


We introduce a new optimization procedure for Euclidean
path integrals which compute wave functionals in CFTs.
We optimize the background metric in the space on which
the path integration is performed. Equivalently this is
interpreted as a position dependent UV cut-off. For two
dimensional CFT vacua, we find the optimized metric is
given by that of a hyperbolic space and we interpret
this as a continuous limit of the conjectured relation
between tensor networks and AdS/CFT. We confirm our
procedure for excited states, the thermofield double
state, the SYK model and discuss its extension to higher
dimensional CFTs. We also show that when applied to
reduced density matrices, it reproduces entanglement
wedges and holographic entanglement entropy. We suggest
that our optimization prescription is analogous to the
estimation of computational complexity. This talk is
mainly based on arXiv:1703.00456.

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