BMN operators and superconformal symmetry

DOI10.1016/S0550-3213(03)00229-3zbMATH Open1087.81518arXivhep-th/0211032OpenAlexW3102771276WikidataQ59256247 ScholiaQ59256247MaRDI QIDQ1872098

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Publication date: 4 May 2003

Published in: (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/hep-th/0211032

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