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arxiv: 1703.04612 · v1 · submitted 2017-03-14 · ✦ hep-th

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Fermionic Localization of the Schwarzian Theory

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classification ✦ hep-th
keywords modelschwarzianactionbeenfermioniclocalizationquantumtheory
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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 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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