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

Journal Article · Fri Mar 30 04:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.131603· OSTI ID:20951177

Benna, M K; Benvenuti, S ^[1]; Klebanov, I R; Scardicchio, A ^[1]

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1. Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (United States)

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 resums 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 AdS{sub 5}. We also make a numerical prediction for the third term in the strong coupling series.

• OSTI ID: 20951177
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 98; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
CONFORMAL INVARIANCE
FUNCTIONS
INTEGRAL EQUATIONS
QUANTUM FIELD THEORY
SEMICLASSICAL APPROXIMATION
SPIN
STRONG-COUPLING MODEL
YANG-MILLS THEORY