Fermionic localization of the schwarzian theory

Douglas Stanford; Edward Witten

doi:10.1007/JHEP10(2017)008

Fermionic localization of the schwarzian theory

Douglas Stanford
, Edward Witten

Research output: Contribution to journal › Article › peer-review

324 Scopus citations

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.

Original language	English (US)
Article number	8
Journal	Journal of High Energy Physics
Volume	2017
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2017)008
State	Published - Oct 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

Field Theories in Lower Dimensions
Nonperturbative Effects

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10.1007/JHEP10(2017)008

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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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AB - 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.

KW - Field Theories in Lower Dimensions

KW - Nonperturbative Effects

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Fermionic localization of the schwarzian theory

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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