Fermionic localization of the schwarzian theory

Douglas Stanford, Edward Witten

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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 languageEnglish (US)
Article number8
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 1 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Field Theories in Lower Dimensions
  • Nonperturbative Effects

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