The Schwarzian theory a Wilson line perspective
A bstractWe 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.