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.
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Stanford, D., Witten, E. Fermionic localization of the schwarzian theory. J. High Energ. Phys. 2017, 8 (2017). https://doi.org/10.1007/JHEP10(2017)008
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DOI: https://doi.org/10.1007/JHEP10(2017)008