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Fermionic localization of the schwarzian theory

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A bstractThe 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… Click to show full abstract

A bstractThe 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.

Keywords: schwarzian theory; model; fermionic localization; localization schwarzian

Journal Title: Journal of High Energy Physics
Year Published: 2017

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