Near conformal perturbation theory in SYK type models

Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We present a systematic procedure to extract the dynamics of the low energy soft mode in SYK type models with a single energy scale J and emergent reparametrization symmetry in the IR. This is given in the framework of the perturbative scheme of arXiv:1608.07567 based on a specific (off-shell) breaking of conformal invariance in the UV, adjusted to yield the exact large-N saddle point. While this breaking term formally vanishes on-shell, it has a non-trivial effect on correlation functions and the effective action. In particular, it leads to the Schwarzian action with a specific coupling to bi-local matter. The method is applied to the evaluation of O(1) corrections to the correlation function of bi-locals. As a byproduct we confirm precise agreement with the explicit, symmetry breaking procedure. We provide a verification in the large q limit (Liouville theory), where the correlators can be calculated exactly at all length scales. In this case, our scheme illuminates how the enhanced O(J) and the subleading O(1) contributions originate from the Schwarzian dynamics of the soft mode and its interaction with h = 2 (bi-local) matter.

Original languageEnglish
Article number171
JournalJournal of High Energy Physics
Issue number12
StatePublished - Dec 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).


  • 1/N Expansion
  • AdS-CFT Correspondence
  • Conformal Field Theory
  • Conformal and W Symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Near conformal perturbation theory in SYK type models'. Together they form a unique fingerprint.

Cite this