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Light-Ray Wave Functions and Integrability

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arxiv 2409.02160 v1 pith:H4FMKHT7 submitted 2024-09-03 hep-th

Alexandre Homrich , David Simmons-Duffin , Pedro Vieira This is my paper
classification hep-th
keywords operatorsothertrajectoriestwist-threeanalyticallyfindintegrabilitylight-ray
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using integrability, we construct (to leading order in perturbation theory) the explicit form of twist-three light-ray operators in planar $\mathcal{N}=4$ SYM. This construction allows us to directly compute analytically continued CFT data at complex spin. We derive analytically the "magic'' decoupling zeroes previously observed numerically. Using the Baxter equation, we also show that certain Regge trajectories merge together into a single unifying Riemann surface. Perhaps more surprisingly, we find that this unification of Regge trajectories is not unique. If we organize twist-three operators differently into what we call "cousin trajectories'' we find infinitely more possible continuations. We speculate about which of these remarkable features of twist-three operators might generalize to other operators, other regimes and other theories.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories

    hep-th 2026-07 conditional novelty 7.0 of 10

    Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.

  2. Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities

    hep-ph 2025-05 conditional novelty 7.0 of 10

    First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.

  3. Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz

    hep-th 2025-07 conditional novelty 6.0 of 10

    From the Quantum Spectral Curve, the authors derive the Asymptotic Baxter-Bethe Ansatz, which determines the asymptotic BFKL spectrum of Regge trajectories in N=4 SYM, reproduces known weak-coupling results, and suppo...

  4. Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model

    hep-th 2025-06 conditional novelty 6.0 of 10

    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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