BMN Operators and Superconformal Symmetry

Beisert, Niklas

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BMN Operators and Superconformal Symmetry

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Beisert, Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Beisert, N. (2003). BMN Operators and Superconformal Symmetry. Nuclear Physics B, 659, 79-118.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5285-3

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 symmet