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Title: 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 + 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. Here, the argument uses a method of fermionic localization, even though the model itself is purely bosonic.

Authors:
 [1];  [1]
  1. Institute for Advanced Study, Princeton, NJ (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1414835
Grant/Contract Number:  
AC02-76SF00515
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 1029-8479
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. https://doi.org/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 + 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. 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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