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The Schwarzian theory : a Wilson line perspective

Andreas Blommaert (UGent) , Thomas Mertens (UGent) and Henri Verschelde (UGent)
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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, ) 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.
Keywords
CLEBSCH-GORDAN, GAUGE-THEORIES, FIELD-THEORY, QUANTIZATION, LIOUVILLE, GRAVITY, DYNAMICS, REPRESENTATIONS, COEFFICIENTS, SL(2, R), 2D Gravity, Chern-Simons Theories, Field Theories in Lower Dimensions, Topological Field Theories

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Please use this url to cite or link to this publication:

Chicago
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. 2018. “The Schwarzian Theory : a Wilson Line Perspective.” Journal of High Energy Physics (12).
APA
Blommaert, A., Mertens, T., & Verschelde, H. (2018). The Schwarzian theory : a Wilson line perspective. JOURNAL OF HIGH ENERGY PHYSICS, (12).
Vancouver
1.
Blommaert A, Mertens T, Verschelde H. The Schwarzian theory : a Wilson line perspective. JOURNAL OF HIGH ENERGY PHYSICS. 2018;(12).
MLA
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. “The Schwarzian Theory : a Wilson Line Perspective.” JOURNAL OF HIGH ENERGY PHYSICS 12 (2018): n. pag. Print.
@article{8588543,
  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, ) 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.},
  articleno    = {022},
  author       = {Blommaert, Andreas and Mertens, Thomas and Verschelde, Henri},
  issn         = {1029-8479},
  journal      = {JOURNAL OF HIGH ENERGY PHYSICS},
  keywords     = {CLEBSCH-GORDAN,GAUGE-THEORIES,FIELD-THEORY,QUANTIZATION,LIOUVILLE,GRAVITY,DYNAMICS,REPRESENTATIONS,COEFFICIENTS,SL(2,R),2D Gravity,Chern-Simons Theories,Field Theories in Lower Dimensions,Topological Field Theories},
  language     = {eng},
  number       = {12},
  pages        = {56},
  title        = {The Schwarzian theory : a Wilson line perspective},
  url          = {http://dx.doi.org/10.1007/JHEP12(2018)022},
  year         = {2018},
}

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