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arXiv · 1806.07765

The Schwarzian Theory - A Wilson Line Perspective

Andreas Blommaert·Thomas G. Mertens·Henri Verschelde
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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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Andreas Blommaert, Thomas G. Mertens, Henri Verschelde. 2018-06-20. The Schwarzian Theory - A Wilson Line Perspective. https://doi.org/10.1007/jhep12(2018)022

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