The Schwarzian theory—a Wilson line perspective
A Blommaert, TG Mertens, H Verschelde - Journal of High Energy Physics, 2018 - Springer
A Blommaert, TG Mertens, H Verschelde
Journal of High Energy Physics, 2018•SpringerA bstract 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 …
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 …
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.
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