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The Schwarzian theory : a Wilson line perspective

Andreas Blommaert, Thomas Mertens (UGent) and Henri Verschelde (UGent)
(2018) JOURNAL OF HIGH ENERGY PHYSICS.
Author
Organization
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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MLA
Blommaert, Andreas, et al. “The Schwarzian Theory : A Wilson Line Perspective.” JOURNAL OF HIGH ENERGY PHYSICS, no. 12, 2018, doi:10.1007/JHEP12(2018)022.
APA
Blommaert, A., Mertens, T., & Verschelde, H. (2018). The Schwarzian theory : a Wilson line perspective. JOURNAL OF HIGH ENERGY PHYSICS, (12). https://doi.org/10.1007/JHEP12(2018)022
Chicago author-date
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. 2018. “The Schwarzian Theory : A Wilson Line Perspective.” JOURNAL OF HIGH ENERGY PHYSICS, no. 12. https://doi.org/10.1007/JHEP12(2018)022.
Chicago author-date (all authors)
Blommaert, Andreas, Thomas Mertens, and Henri Verschelde. 2018. “The Schwarzian Theory : A Wilson Line Perspective.” JOURNAL OF HIGH ENERGY PHYSICS (12). doi:10.1007/JHEP12(2018)022.
Vancouver
1.
Blommaert A, Mertens T, Verschelde H. The Schwarzian theory : a Wilson line perspective. JOURNAL OF HIGH ENERGY PHYSICS. 2018;(12).
IEEE
[1]
A. Blommaert, T. Mertens, and H. Verschelde, “The Schwarzian theory : a Wilson line perspective,” JOURNAL OF HIGH ENERGY PHYSICS, no. 12, 2018.
@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://doi.org/10.1007/JHEP12(2018)022}},
  year         = {{2018}},
}
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