BMN operators and superconformal symmetry

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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38 pages, v2: minor changes, to appear in Nucl. Phys. B Report-no: AEI 2002-089 Journal-ref: Nucl.Phys. B659 (2003) 79-118

11.15.-q
11.25.Tq
11.25.Hf
11.30.Pb
algebra: conformal
supersymmetry: algebra
superspace: harmonic
correlation function

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