On Non-renormalization and OPE in Superconformal Field Theories

Details On Non-renormalization and OPE in Superconformal Field Theories On Non-renormalization and OPE in Superconformal Field Theories

2001-05-24

arxiv.org/abs/hep-th/0105254v2

Nucl.Phys. B619 (2001) 359-372

Physics

High Energy Physics

High Energy Physics - Theory

minor corrections, references changed

Scientific paper

10.1016/S0550-3213(01)00529-6

The OPE of two N=2 R-symmetry current (short) multiplets is determined by the possible superspace three-point functions that two such multiplets can form with a third, a priori long multiplet. We show that the shortness conditions on the former put strong restrictions on the quantum numbers of the latter. In particular, no anomalous dimension is allowed unless the third supermultiplet is an R-symmetry singlet. This phenomenon should explain many known non-renormalization properties of correlation functions, including the one of four stress-tensor multiplets in N=4 SYM_4.

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