BMN operators and superconformal symmetry. (English) Zbl 1087.81518
Summary: 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.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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