Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory

Abstract

We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in the planar limit by explicit Feynman graph calculations with emphasis on analyses beyond one loop. From four loops on, the dilatation operator determines the spectrum only in the asymptotic regime, i.e. to a loop order which is strictly smaller than the number of elementary fields of the composite operators. We review also the calculations which take a first step beyond this limitation by including the leading wrapping corrections.

24 pages, see also overview article arXiv:1012.3982, v2: references to other chapters updated, v3: formulations improved, reference added, final version

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Cited by in corpus (6)

• Integrability of the AdS_5 x S^5 superstring and its deformations
• Amplitudes, Form Factors and the Dilatation Operator in $\mathcal{N}=4$ SYM Theory
• Integrability in N=2 superconformal gauge theories
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• On the Integrability of Planar N=2 Superconformal Gauge Theories
• Four-loop anomalous dimensions in Leigh-Strassler deformations