Missing local operators, zeros, and twist-4 trajectories

Johan Henriksson, Petr Kravchuk, Brett Oertel

Research output: Working paper/PreprintPreprint

13 Downloads (Pure)


The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories must decouple from local correlation functions, implying infinitely many vanishing conditions for OPE coefficients. In this paper we explain the mechanism behind this infinity of zeros. Specifically, the mechanism is related to the two-point function rather than the three-point function, explaining the vanishing of OPE coefficients in every correlator from a single condition. We illustrate our result by studying twist-4 Regge trajectories in the Wilson--Fisher CFT at one loop.
Original languageEnglish
Number of pages78
Publication statusPublished - 14 Dec 2023


  • hep-th


Dive into the research topics of 'Missing local operators, zeros, and twist-4 trajectories'. Together they form a unique fingerprint.

Cite this