Towards a bulk description of higher spin SYK

Hernán A. González, Daniel Grumiller, Jakob Salzer

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43 Scopus citations

Abstract

We consider on the bulk side extensions of the Sachdev-Ye-Kitaev (SYK) model to Yang-Mills and higher spins. To this end we study generalizations of the Jackiw-Teitelboim (JT) model in the BF formulation. Our main goal is to obtain generalizations of the Schwarzian action, which we achieve in two ways: by considering the on-shell action supplemented by suitable boundary terms compatible with all symmetries, and by applying the Lee-Wald-Zoupas formalism to analyze the symplectic structure of dilaton gravity. We conclude with a discussion of the entropy (including log-corrections from higher spins) and a holographic dictionary for the generalized SYK/JT correspondence.

Original languageEnglish
Article number83
JournalJournal of High Energy Physics
Volume2018
Issue number5
DOIs
StatePublished - 1 May 2018
Externally publishedYes

Keywords

  • 2D Gravity
  • AdS-CFT Correspondence
  • Field Theories in Lower Dimensions
  • Higher Spin Gravity

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