The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector

Abstract

The dilatation operator of planar N=4 super Yang-Mills in the pure scalar SO(6) sector is derived at the two-loop order. Representation theory allows for eight free coefficients in an ansatz for the corresponding spin-chain hamiltonian acting on three adjacent scalar states. While four out of these follow from the known SU(2|3) sector two-loop dilatation operator, the remaining four coefficients are derived by diagrammatic techniques and a match to the known dimension of a length three primary operator. Finally, comments upon the use of this result for the evaluation of three-point structure functions of scalar operators at the one-loop order are given.

16 pages, 5 figures

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Cited by in corpus (8)

• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• Correlators of massive string states with conserved currents
• String theory on the Schrodinger pp-wave background
• Giant Gravitons on the Schrodinger pp-wave geometry
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations