Superconformal operators in N=4 super-Yang-Mills theory

Abstract

We construct, in the framework of the N=4 SYM theory, a supermultiplet of twist-two conformal operators and study their renormalization properties. The components of the supermultiplet have the same anomalous dimension and enter as building blocks into multi-particle quasipartonic operators. The latter are determined by the condition that their twist equals the number of elementary constituent fields from which they are built. A unique feature of the N=4 SYM is that all quasipartonic operators with different SU(4) quantum numbers fall into a single supermultiplet. Among them there is a subsector of the operators of maximal helicity, which has been known to be integrable in the multi-color limit in QCD, independent of the presence of supersymmetry. In the N=4 SYM theory, this symmetry is extended to the whole supermultiplet of quasipartonic operators and the one-loop dilatation operator coincides with a Hamiltonian of integrable SL(2|4) Heisenberg spin chain.

45 pages, Latex, 4 figures

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• Large spin limits of AdS/CFT and generalized Landau-Lifshitz equations
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• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM
• Event shapes in N=4 super-Yang-Mills theory
• Exciting the GKP string at any coupling
• A three-loop test of the dilatation operator in N=4 SYM
• NLO evolution of color dipoles in N=4 SYM
• Yang-Mills Correlation Functions from Integrable Spin Chains
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• On spin chains and field theories
• Are scattering amplitudes dual to super Wilson loops?
• The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines
• Pulsating Strings on AdS_5 x S^5
• Wavy Wilson Line and AdS/CFT
• Yangian Symmetry of smooth Wilson Loops in N=4 super Yang-Mills Theory
• Fermionic pentagons and NMHV hexagon
• Spinning Gluons from the QCD Light-Ray OPE
• Super spin chain coherent state actions and $Ad{S}_5\times S^5$ superstring
• Quantum mechanics of null polygonal Wilson loops
• On the light-ray algebra in conformal field theories
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Leading transcedental contribution to the four-loop universal anomalous dimension in N=4 SYM
• N=2 Super Yang-Mills and the XXZ spin chain
• Spin Models and Superconformal Yang-Mills Theory
• Landau-Lifshitz sigma-models, fermions and the AdS/CFT correspondence
• Reciprocity of gauge operators in N=4 SYM
• Superconformal operators in Yang-Mills theories on the light-cone
• Three-point correlators of twist-2 operators in N=4 SYM at Born approximation
• Anomalous dimensions of leading twist conformal operators
• Composite operators and form factors in N=4 SYM
• Fusion hierarchies for N = 4 superYang-Mills theory
• Universality of three gaugino anomalous dimensions in N=4 SYM
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• On twist-two operators in N=4 SYM
• $n$-point correlators of twist-$2$ operators in $SU(N)$ Yang-Mills theory to the lowest perturbative order
• Parton interaction in super Yang Mills theory
• Gauge Theories as String Theories: the First Results
• Quasiclassical Geometry and Integrability of AdS/CFT Correspondence
• Analytic Bethe Ansatz and Baxter equations for long-range psl(2|2) spin chain
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
• The Affine Hidden Symmetry and Integrability of Type IIB Superstring in $Ad{S}_5\times S^5$
• Pseudo and quasi gluon PDF in the BFKL approximation
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Vertex Operators of Super Wilson Loops
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Superfield twist-$2$ operators in $\mathcal{N}=1$ SCFTs and their renormalization-group improved generating functional in $\mathcal{N}=1$ SYM theory
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
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