The Schwarzian theory -- origins
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Publication:1651080
DOI10.1007/JHEP05(2018)036zbMATH Open1391.83081arXiv1801.09605WikidataQ129846392 ScholiaQ129846392MaRDI QIDQ1651080
Author name not available (Why is that?)
Publication date: 11 July 2018
Published in: (Search for Journal in Brave)
Abstract: In this paper we further study the 1d Schwarzian theory, the universal low-energy limit of Sachdev-Ye-Kitaev models, using the link with 2d Liouville theory. We provide a path-integral derivation of the structural link between both theories, and study the relation between 3d gravity, 2d Jackiw-Teitelboim gravity, 2d Liouville and the 1d Schwarzian. We then generalize the Schwarzian double-scaling limit to rational models, relevant for SYK-type models with internal symmetries. We identify the holographic gauge theory as a 2d BF theory and compute correlators of the holographically dual 1d particle-on-a-group action, decomposing these into diagrammatic building blocks, in a manner very similar to the Schwarzian theory.
Full work available at URL: https://arxiv.org/abs/1801.09605
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