2021年
02/19
開催
開催日時
2021/02/19（金）15:00〜16:00
開催場所
Online (Zoom)
講演者
高柳 匡 教授 （京都大学 基礎物理学研究所）
言語
日本語
詳細ページ
お問い合わせ
酒井 / sakaika-AT-post.kek.jp
概要
We propose a gravity dual description of the path-integral optimization in conformal field theories arXiv:1703.00456, using Hartle-Hawking wave functions in anti-de Sitter spacetimes. We show that the maximization of the Hartle-Hawking wave function is equivalent to the path-integral optimization procedure. Namely, the variation of the wave function leads to a constraint, equivalent to the Neumann boundary condition on a bulk slice, whose classical solutions reproduce metrics from the path-integral optimization in conformal field theories. After taking the boundary limit of the semi-classical Hartle-Hawking wave function, we reproduce the path-integral complexity action in two dimensions as well as its higher and lower dimensional generalizations. We also discuss an emergence of holographic time from conformal field theory path-integrals.