The Schwarzian theory — origins

A bstract In this paper we further study the 1d Schwarzian theory, the universal low-energy limit of Sachdev-Ye-Kitaev models, using the link with 2d Liouville theory. We provide a path-integral derivation of the structural link between both theories, and study the relation between 3d gravity, 2d Ja...

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Bibliographic Details
Published in:The journal of high energy physics 2018-05, Vol.2018 (5), p.1-45, Article 36
Main Author: Mertens, Thomas G.
Format: Article
Language:English
Subjects:
2D Gravity
AdS-CFT Correspondence
Classical and Quantum Gravitation
Conformal Field Theory
Correlators
Elementary Particles
Field Theories in Lower Dimensions
Field theory
Gauge theory
Gravitation
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Two dimensional models
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Summary:A bstract In this paper we further study the 1d Schwarzian theory, the universal low-energy limit of Sachdev-Ye-Kitaev models, using the link with 2d Liouville theory. We provide a path-integral derivation of the structural link between both theories, and study the relation between 3d gravity, 2d Jackiw-Teitelboim gravity, 2d Liouville and the 1d Schwarzian. We then generalize the Schwarzian double-scaling limit to rational models, relevant for SYK-type models with internal symmetries. We identify the holographic gauge theory as a 2d BF theory and compute correlators of the holographically dual 1d particle-on-a-group action, decomposing these into diagrammatic building blocks, in a manner very similar to the Schwarzian theory.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2018)036