KEK素粒子原子核研究所・理論セミナー/高柳 匡教授

分類理論セミナー
開始2017/05/23(火)15:30
終了2017/05/23(火)16:30
会場Kenkyu-Honkan 1F, Meeting Room 1
講演タイトルAdS Space from Optimization of Euclidean Path-Integral in CFT
講演者高柳 匡教授 (YITP/Kavli IPMU)
言語英語/English
連絡先柴正太郎/sshiba-AT-post.kek.jp
ウェブサイト
食堂・売店利用予定なし/0

概要


ABSTRACT:
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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