BMN Operators and Superconformal Symmetry

Details BMN Operators and Superconformal Symmetry BMN Operators and Superconformal Symmetry

2002-11-05

arxiv.org/abs/hep-th/0211032v2

Nucl.Phys.B659:79-118,2003

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, v2: minor changes, to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(03)00229-3

Implications of N=4 superconformal symmetry on Berenstein-Maldacena-Nastase (BMN) operators with two charge defects are studied both at finite charge J and in the BMN limit. We find that all of these belong to a single long supermultiplet explaining a recently discovered degeneracy of anomalous dimensions on the sphere and torus. The lowest dimensional component is an operator of naive dimension J+2 transforming in the [0,J,0] representation of SU(4). We thus find that the BMN operators are large J generalisations of the Konishi operator at J=0. We explicitly construct descendant operators by supersymmetry transformations and investigate their three-point functions using superconformal symmetry.

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