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Fermionic localization of the schwarzian theory

2017/03/14 by Douglas Stanford, Edward Witten · 1 citation
Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmological model #Dual (grammatical number) #Duality (order theory) #Noncommutative and Quantum Gravity Theories #Path integral formulation #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum field theory #Quantum gravity #hep-th

paper · pdf · doi:10.1007/jhep10(2017)008

19+9 pages

arxiv created 2017/03/14 · openalex created_date 2017/04/07 · openalex publication_date 2017/10/01 · arxiv updated 2017/10/25 · openalex updated_date 2026/08/06

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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