Fermionic Localization of the Schwarzian Theory
High Energy Physics - Theory
2017-10-25 v1
Abstract
The SYK model is a quantum mechanical model that has been proposed to be holographically dual to a -dimensional model of a quantum black hole. An emergent "gravitational" mode of this model is governed by an unusual action that 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.
Cite
@article{arxiv.1703.04612,
title = {Fermionic Localization of the Schwarzian Theory},
author = {Douglas Stanford and Edward Witten},
journal= {arXiv preprint arXiv:1703.04612},
year = {2017}
}
Comments
19+9 pages