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A Test of the AdS/CFT Correspondence Using High-Spin Operators

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arxiv hep-th/0611135 v2 pith:2BCOBWIN submitted 2006-11-13 hep-th

M. K. Benna , S. Benvenuti , I. R. Klebanov , A. Scardicchio This is my paper · ORCID
classification hep-th
keywords couplinghep-thhigh-spinoperatorscorrespondenceexpansionfunctionperturbative
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f(g), appearing in the dimensions of high-spin operators of the N=4 SYM theory. We study numerically the integral equation derived in hep-th/0610251, which implements a resummation of the perturbative expansion, and find a smooth function that approaches the asymptotic form predicted by string theory. In fact, the two leading terms at strong coupling match with high accuracy the results obtained for the semiclassical folded string spinning in $AdS_5$. This constitutes a remarkable confirmation of the AdS/CFT correspondence for high-spin operators, and equivalently for the cusp anomaly of a Wilson loop. We also make a numerical prediction for the third term in the strong coupling series.

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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. A universal scaling function for giant graviton OPE coefficients

    hep-th 2026-07 conditional novelty 7.0 of 10

    In planar N=4 SYM, the large-spin OPE coefficient for two maximal giant gravitons and a twist-two operator scales as S^{d(g)}, with d(g) computed at arbitrary coupling.

  2. Positivity properties of observables in planar maximally supersymmetric Yang-Mills theory

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.

  3. Multi-Loop Negative Geometries

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Explicit three-loop computation of negative geometries for F(g,z) with all-loop resummation of one-cycle diagrams and extraction of the cusp anomalous dimension via z-integration.

  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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