A note on composite operators in N=4 SYM

Abstract

We discuss composite operators in N=4 super Yang-Mills theory and their realisations as superfields on different superspaces. The superfields that realise various operators on analytic superspace may be different in the free, interacting and quantum theories. In particular, in the quantum theory, there is a restricted class of operators that can be written as analytic tensor superfields. This class includes all series B and C operators in the theory as well as some series A operators which saturate the unitarity bounds. Operators of this type are expected to be protected from renormalisation.

12 pages

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• (Non-)perturbative tests of the AdS/CFT correspondence
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• Higher Spin Symmetry and N=4 SYM
• A three-loop test of the dilatation operator in N=4 SYM
• The ultra-violet question in maximally supersymmetric field theories
• The super-correlator/super-amplitude duality: Part II
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• Systematics of Quarter BPS operators in N=4 SYM
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• Aspects of superconformal field theories in six dimensions
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• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
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