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 supports a conjectured strong-coupling intercept spectrum.
Exploring Structure Constants in Planar $\mathcal{N} = 4$ SYM: From Small Spin to Strong Coupling
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abstract
We study the structure constants of two conformal primary operators and one spinning operator in planar $\mathcal{N} = 4$ Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for computing these structure constants at any coupling in the small-spin limit, up to a normalization factor. This formula allows us to explore their analytical properties at strong coupling. In this regime, using classical string calculations and a suitable ansatz, we extend our analysis to finite-spin operators, verifying recent two-loop results for structure constants in string theory and generalizing them to operators with arbitrary R-charges.
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Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz
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 supports a conjectured strong-coupling intercept spectrum.