The Schwarzian theory -- a Wilson line perspective
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Publication:1712301
DOI10.1007/JHEP12(2018)022zbMATH Open1405.83040arXiv1806.07765OpenAlexW2950557609WikidataQ112153932 ScholiaQ112153932MaRDI QIDQ1712301
Author name not available (Why is that?)
Publication date: 21 January 2019
Published in: (Search for Journal in Brave)
Abstract: We provide a holographic perspective on correlation functions in Schwarzian quantum mechanics, as boundary-anchored Wilson line correlators in Jackiw-Teitelboim gravity. We first study compact groups and identify the diagrammatic representation of bilocal correlators of the particle-on-a-group model as Wilson line correlators in its 2d holographic BF description. We generalize to the Hamiltonian reduction of SL(2,R) and derive the Schwarzian correlation functions. Out-of-time ordered correlators are determined by crossing Wilson lines, giving a 6j-symbol, in agreement with 2d CFT results.
Full work available at URL: https://arxiv.org/abs/1806.07765
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