2021
2/19
OPEN
Date
2021/2/19 15:00〜16:00
Venue
zoom
Speaker
Prof. Tadashi Takayanagi ( Yukawa Institute for Theoretical Physics, Kyoto University )
Language
English
URL
Contact
Sakai Katsuta / sakaika-AT-post.kek.jp
Overview
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.