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Colour-Twist Operators I: Spectrum and Wave Functions

Research output: Contribution to journalArticlepeer-review

Original languageEnglish
JournalJournal of High Energy Physics
Accepted/In press27 May 2020


  • JHEP_257P_0320

    JHEP_257P_0320.pdf, 6.41 MB, application/pdf

    Uploaded date:28 May 2020

    Version:Accepted author manuscript

King's Authors


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, un-twisted 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.

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