Regge spectroscopy of higher twist states in $\mathcal{N}=4$ supersymmetric Yang-Mills theory

Abstract

We study a family of higher-twist Regge trajectories in $\mathcal{N}=4$ supersymmetric Yang-Mills theory using the Quantum Spectral Curve. We explore the many-sheeted Riemann surface connecting the different trajectories and show the interplay between the degenerate non-local operators known as horizontal trajectories. We resolve their degeneracy analytically by computing the first non-trivial order of the Regge intercept at weak coupling, which exhibits new behaviour: it depends linearly on the coupling. This is consistent with our numerics, which interpolate all the way to strong coupling.

main text: 6 pages, 5 figures; supplemental material: 17 pages, 3 figures, 3 tables

References in corpus (6)

• Dressing and Wrapping
• Comparison of $pp$ and $p\bar{p}$ differential elastic cross sections and observation of the exchange of a colorless $C$-odd gluonic compound
• Detectors in weakly-coupled field theories
• Strong Coupling Expansion for the Conformal Pomeron/Odderon Trajectories
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• The property of maximal transcendentality in the N=4 SYM

Cited by in corpus (1)

• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory