Fermionic localization of the schwarzian theory
Abstract
The SYK model is a quantum mechanical model that has been proposed to be holographically dual to a 1 + 1-dimensional model of a quantum black hole. An emergent "gravitational" mode of this model is governed by an unusual action that has been called the Schwarzian action. It governs a reparametrization of a circle. We show that the path integral of the Schwarzian theory is one-loop exact. The argument uses a method of fermionic localization, even though the model itself is purely bosonic.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- October 2017
- DOI:
- 10.1007/JHEP10(2017)008
- arXiv:
- arXiv:1703.04612
- Bibcode:
- 2017JHEP...10..008S
- Keywords:
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- Field Theories in Lower Dimensions;
- Nonperturbative Effects;
- High Energy Physics - Theory
- E-Print:
- 19+9 pages