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Missing local operators, zeros, and twist-4 trajectories

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arxiv 2312.09283 v2 pith:VGGMDFP6 submitted 2023-12-14 hep-th

Johan Henriksson , Petr Kravchuk , Brett Oertel This is my paper · ORCID
classification hep-th
keywords localspintrajectoriescoefficientsfunctioninfinitelymanymechanism
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 5 Pith papers

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    hep-th 2025-08 conditional novelty 6.0 of 10

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    In the critical O(N) model, renormalizing detector and distribution light-ray operators at leading order in 1/N yields Regge intercepts, the leading-twist splitting function, and a BFKL-type anomalous spin.

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