Fermionic localization of the schwarzian theory
Abstract
The SYK model is a quantum mechanical model that has been proposed to be holographically dual to a 1 + 1dimensional 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 oneloop exact. Here, the argument uses a method of fermionic localization, even though the model itself is purely bosonic.
 Authors:

 Institute for Advanced Study, Princeton, NJ (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1414835
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Lower Dimensions; Nonperturbative Effects
Citation Formats
Stanford, Douglas, and Witten, Edward. Fermionic localization of the schwarzian theory. United States: N. p., 2017.
Web. doi:10.1007/JHEP10(2017)008.
Stanford, Douglas, & Witten, Edward. Fermionic localization of the schwarzian theory. United States. https://doi.org/10.1007/JHEP10(2017)008
Stanford, Douglas, and Witten, Edward. Mon .
"Fermionic localization of the schwarzian theory". United States. https://doi.org/10.1007/JHEP10(2017)008. https://www.osti.gov/servlets/purl/1414835.
@article{osti_1414835,
title = {Fermionic localization of the schwarzian theory},
author = {Stanford, Douglas and Witten, Edward},
abstractNote = {The SYK model is a quantum mechanical model that has been proposed to be holographically dual to a 1 + 1dimensional 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 oneloop exact. Here, the argument uses a method of fermionic localization, even though the model itself is purely bosonic.},
doi = {10.1007/JHEP10(2017)008},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}
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