Path-Integral Optimization from Hartle-Hawking Wave Function

開始日時 2021/02/19 15:00
終了日時 2021/02/19 16:00
講演者 高柳 匡 教授 (京都大学 基礎物理学研究所)
会場 Online (Zoom)
連絡先 酒井 /
言語 English


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.