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Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM

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abstract

We present a systematic method for the derivation of a relation which connects the correlation function of operators on the straight Maldacena-Wilson line with the integrability data for the cusp anomalous dimension. As we show, the derivation requires very careful treatment of the UV divergences. Our method opens a way to derive infinitely many constraints on integrals of multi-point correlation functions, relating them with the integrability data for the generalised cusp anomalous dimension governed by the Quantum Spectral Curve. Such constraints have been shown recently to be very powerful in combination with the numerical conformal bootstrap, leading to very narrow non-perturbative bounds on conformal data beyond the spectrum.

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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 46 · 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.