The Schwarzian theory — a Wilson line perspective

Andreas Blommaert, Thomas G. Mertens, Henri Verschelde
2018 Journal of High Energy Physics  
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
more » ... are determined by crossing Wilson lines, giving a 6j-symbol, in agreement with 2d CFT results.
doi:10.1007/jhep12(2018)022 fatcat:f5sa2y635nc5hogkvuaxz5bm4a