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An exact slope for AdS/CFT

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abstract

We present a conjecture for the small spin limit of the minimal scaling dimension of Wilson operators in the sl(2) sector of the planar N=4 Super-Yang-Mills theory. The expression is given in closed form as a function of the 't Hooft coupling and twist of the operator. The formula should stand as a prediction of the Asymptotic Bethe Ansatz equations for the spectrum of scaling dimensions and evidence is given at both weak and strong coupling that it should be exact. In particular, agreement is found with established one-loop spectroscopy of string energies at strong coupling.

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2025 1

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

hep-th · 2025-07-21 · conditional · novelty 6.0

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.

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  • Regge Trajectories of N=4 SYM Part I: General Asymptotic Baxter-Bethe Ansatz hep-th · 2025-07-21 · conditional · none · ref 64 · internal anchor

    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.