Colour-twist operators. Part I. Spectrum and wave functions

Andrea Cavaglià, David Grabner, Nikolay Gromov, Amit Sever*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)
28 Downloads (Pure)


We introduce a new class of operators in any theory with a ’t Hooft large-N limit that we call colour-twist operators. They are defined by twisting the colour-trace with a global symmetry transformation and are continuously linked to standard, untwisted single-trace operators. In particular, correlation functions between operators that are twisted by an R-symmetry of N = 4 SYM extend those in the γ-deformed theory. The most general deformation also breaks the Lorentz symmetry but preserves integrability in the examples we consider. In this paper, we focus on colour-twist operators in the fishnet model. We exemplify our approach for the simplest colour-twist operators with one and two scalar fields, which we study non-perturbatively using field-theoretical as well as integrability methods, finding a perfect match. We also propose the quantisation condition for the Baxter equation appearing in the integrability calculation in the fishnet model. The results of this paper constitute a crucial step towards building the separation of variable construction for the correlation functions by means of the Quantum Spectral Curve approach.

Original languageEnglish
Article number92
JournalJournal of High Energy Physics
Issue number6
Publication statusPublished - 15 Jun 2020


  • 1/N Expansion
  • AdS-CFT Correspondence
  • Conformal Field Theory
  • Integrable Field Theories


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