%0 Generic %1 boruch2020pathintegral %A Boruch, Jan %A Caputa, Pawel %A Takayanagi, Tadashi %D 2020 %K arxiv %T Path-Integral Optimization from Hartle-Hawking Wave Function %U http://arxiv.org/abs/2011.08188 %X 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.

@misc{boruch2020pathintegral, abstract = {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.}, added-at = {2020-11-21T00:13:20.000+0100}, author = {Boruch, Jan and Caputa, Pawel and Takayanagi, Tadashi}, biburl = {https://www.bibsonomy.org/bibtex/288ddb7ea7893777c47a1612a07ee922c/nimaaj}, description = {Path-Integral Optimization from Hartle-Hawking Wave Function}, interhash = {9faef0c797a92e22abd0670d25b0cbe4}, intrahash = {88ddb7ea7893777c47a1612a07ee922c}, keywords = {arxiv}, note = {cite arxiv:2011.08188Comment: 7 pages, Revtex, 1 Figure, 1 Appendix}, timestamp = {2020-11-21T00:13:20.000+0100}, title = {Path-Integral Optimization from Hartle-Hawking Wave Function}, url = {http://arxiv.org/abs/2011.08188}, year = 2020 }