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We compute exactly various 4−point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional “fishnet” CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and the structure constants of all exchanged operators with an arbitrary Lorentz spin. In particular, we determine the conformal data of the simplest unprotected two-magnon operator analogous to the Konishi operator, as well as of the one-magnon operator. We show that at weak coupling 4−point correlation functions can be systematically expanded in terms of harmonic polylogarithm functions and verify our results by explicit calculation of Feynman graphs at a few orders in the coupling. At strong coupling we obtain that the correlation functions exhibit the scaling behaviour typical for semiclassical description hinting at the existence of the holographic dual.
Original languageEnglish
Article number123
JournalJournal of High Energy Physics
Issue number8
Early online date22 Aug 2019
Publication statusE-pub ahead of print - 22 Aug 2019


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


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