BMN Operators and Superconformal Symmetry

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.

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

References in corpus (12)

• PP-wave string interactions from perturbative Yang-Mills theory
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Operator Mixing and the BMN Correspondence
• More comments on superstring interactions in the pp-wave background
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• Strings in the near plane wave background and AdS/CFT
• Comments on Superstring Interactions in a Plane-Wave Background
• BMN operators and string field theory
• Conformal Dimensions of Two-Derivative BMN Operators
• BMN Correlators by Loop Equations

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• Yang-Mills Correlation Functions from Integrable Spin Chains
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• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Strings in plane wave backgrounds
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
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• A light-cone approach to three-point functions in AdS_5 x S^5
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• Surprises from the Resolution of Operator Mixing in N = 4 SYM
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• New tests of the pp-wave correspondence
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• New aspects of the BMN correspondence beyond the planar limit
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• Predictions for PP-wave string amplitudes from perturbative SYM
• Quantum Landau-Lifshitz model at four loops: 1/J and 1/J^2 corrections to BMN energies
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
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• Wrapping effects in supersymmetric gauge theories
• BPS operators from the Wilson loop in the 3-dimensional supersymmetric Chern-Simons theory
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• Entanglement Entropy of the N=4 SYM spin chain
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