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An exact slope for AdS/CFT

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arxiv 1109.3154 v2 pith:SQLSS7FW submitted 2011-09-14 hep-th hep-ph

classification hep-thhep-ph
keywords couplingexactgivenscalingshouldstrongagreementansatz
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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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Cited by 4 Pith papers

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

  1. On the $AdS_3$ Virasoro-Shapiro Amplitude

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    Tree-level four-tachyon amplitudes on AdS3 with NSNS flux expand around flat space into Virasoro-Shapiro integrals dressed with single-valued multiple polylogarithms, to all orders.

  2. Chaos in the butterfly cone

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    The velocity-dependent Lyapunov exponent inside the butterfly cone satisfies λ(v) ≤ 2πT(1-|v|/v_B), a generalization of the chaos bound, saturated in SYK chains, holographic theories, and large N CFTs.

  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. DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling

    hep-th 2019-08 unverdicted

    A review of known results on DGLAP and BFKL equations in N=4 SYM, from weak-coupling perturbation theory to strong coupling via AdS/CFT and integrability, with no new derivations.

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