The holographic dual of the entanglement wedge symplectic form
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Publication:2185291
DOI10.1007/JHEP01(2020)071zbMATH Open1434.83126arXiv1910.00457OpenAlexW3101460084WikidataQ126340918 ScholiaQ126340918MaRDI QIDQ2185291
Author name not available (Why is that?)
Publication date: 4 June 2020
Published in: (Search for Journal in Brave)
Abstract: In this paper, we find the boundary dual of the symplectic form for the bulk fields in any entanglement wedge. The key ingredient is Uhlmann holonomy, which is a notion of parallel transport of purifications of density matrices based on a maximisation of transition probabilities. Using a replica trick, we compute this holonomy for curves of reduced states in boundary subregions of holographic QFTs at large N, subject to changes of operator insertions on the boundary. It is shown that the Berry phase along Uhlmann parallel paths may be written as the integral of an abelian connection whose curvature is the symplectic form of the entanglement wedge. This generalises previous work on holographic Berry curvature.
Full work available at URL: https://arxiv.org/abs/1910.00457
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