Test of the Anti–de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators

2006/11/28 by M. K. Benna, Marcus K. Benna, S. Benvenuti +5 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevlett.98.131603

published as Phys.Rev.Lett.98:131603,2007 · 11 pages, 1 figure; added references, corrected typos

arxiv created 2006/11/28 · openalex publication_date 2007/03/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In two remarkable recent papers the planar perturbative expansion was proposed for the universal function of the coupling appearing in the dimensions of high-spin operators of the N=4 super Yang-Mills theory. We study numerically the integral equation derived by Beisert, Eden, and Staudacher, which resumes the perturbative series. In a confirmation of the anti-de Sitter-space/conformal-field-theory (AdS/CFT) correspondence, we find a smooth function whose two leading terms at strong coupling match the results obtained for the semiclassical folded string spinning in AdS5. We also make a numerical prediction for the third term in the strong coupling series.

Citations

• An exact prediction of N=4 supersymmetric Yang–Mills theory for string theory
• Integrability of Three-Particle Evolution Equations in QCD
• High energy QCD as a completely integrable model
• A universality test of the quantum string Bethe ansatz
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• The Large N Limit of Superconformal Field Theories and Supergravity

Cited by

• Operator with large spin and spinning D3-brane
• ASPECTS OF INTEGRABILITY IN N = 4 SYM
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