On Harmonic Superspaces and Superconformal Fields in Four Dimensions

Details On Harmonic Superspaces and Superconformal Fields in Four Dimensions On Harmonic Superspaces and Superconformal Fields in Four Dimensions

2000-05-15

arxiv.org/abs/hep-th/0005135v1

Class.Quant.Grav. 17 (2000) 3743-3768

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, latex

Scientific paper

10.1088/0264-9381/17/18/311

Representations of four-dimensional superconformal groups on harmonic superfields are discussed. It is shown how various short representations can be obtained by parabolic induction. It is also shown that such short multiplets may admit several descriptions as superfields on different superspaces. In particular, this is the case for on-shell massless superfields. This allows a description of short representations as explicit products of fundamental fields. Superconformal transformations of analytic fields in real harmonic superspaces are given explicitly.

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