Towards a 2d QFT analog of the SYK model

Gustavo J. Turiaci, Herman Verlinde

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83 Scopus citations


We propose a 2D QFT generalization of the Sachdev-Ye-Kitaev model, which we argue preserves most of its features. The UV limit of the model is described by N copies of a topological Ising CFT. The full interacting model exhibits conformal symmetry in the IR and an emergent pseudo-Goldstone mode that arises from broken reparametrization symmetry. We find that the effective action of the Goldstone mode matches with the 3D AdS gravity action, viewed as a functional of the boundary metric. We compute the spectral density and show that the leading deviation from conformal invariance looks like a TT¯ deformation. We comment on the relation between the IR effective action and Liouville CFT.

Original languageEnglish (US)
Article number167
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 1 2017

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT Correspondence
  • Conformal Field Theory
  • Topological Field Theories


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