Three dimensional view of the SYK/AdS duality

Sumit R. Das, Antal Jevicki, Kenta Suzuki

Research output: Contribution to journalArticlepeer-review

93 Scopus citations

Abstract

We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS2, and subject to a delta function potential at the center of the interval along the third direction. This., through Kaluza-Klein procedure on AdS2 × (S1)/Z2, generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore., the leading 1/J correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing credence to a conjecture that the bulk dual of this model can be interpreted as a three dimensional theory.

Original languageEnglish
Article number17
JournalJournal of High Energy Physics
Volume2017
Issue number9
DOIs
StatePublished - Sep 1 2017

Bibliographical note

Publisher Copyright:
© 2017, The Author(s).

Keywords

  • 1/N Expansion
  • 2D Gravity
  • AdS-CFT Correspondence
  • Gauge-gravity correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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