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 / sakaika-AT-post.kek.jp |
| 言語 | English |
| ウェブサイト |
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.
