Holographic path-integral optimization
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Publication:1981420
DOI10.1007/JHEP07(2021)016zbMATH Open1468.83036arXiv2104.00010OpenAlexW3180809378WikidataQ112308750 ScholiaQ112308750MaRDI QIDQ1981420
Author name not available (Why is that?)
Publication date: 3 September 2021
Published in: (Search for Journal in Brave)
Abstract: In this work we elaborate on holographic description of the path-integral optimization in conformal field theories (CFT) using Hartle-Hawking wave functions in Anti-de Sitter spacetimes. We argue that the maximization of the Hartle-Hawking wave function is equivalent to the path-integral optimization procedure in CFT. In particular, we show that metrics that maximize gravity wave functions computed in particular holographic geometries, precisely match those derived in the path-integral optimization procedure for their dual CFT states. The present work is a detailed version of cite{Boruch:2020wax} and contains many new results such as analysis of excited states in various dimensions including JT gravity, and a new way of estimating holographic path-integral complexity from Hartle-Hawking wave functions. Finally, we generalize the analysis to Lorentzian Anti-de Sitter and de Sitter geometries and use it to shed light on path-integral optimization in Lorentzian CFTs.
Full work available at URL: https://arxiv.org/abs/2104.00010
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