Superfield representations of superconformal groups

Details Superfield representations of superconformal groups Superfield representations of superconformal groups

2001-08-31

arxiv.org/abs/hep-th/0108235v2

Class.Quant.Grav. 19 (2002) 303-346

Physics

High Energy Physics

High Energy Physics - Theory

49pages, Latex

Scientific paper

10.1088/0264-9381/19/2/309

Representations of four dimensional superconformal groups are constructed as fields on many different superspaces, including super Minkowski space, chiral superspace, harmonic superspace and analytic superspace. Any unitary irreducible representation can be given as a field on any one of these spaces if we include fields which transform under supergroups. In particular, on analytic superspaces, the fields are unconstrained. One can obtain all representations of the N=4 complex superconformal group $PSL(4|4)$ with integer dilation weight from copies of the Maxwell multiplet on $(4,2,2)$ analytic superspace. This construction is compared with the oscillator construction and it is shown that there is a natural correspondence between the oscillator construction of superconformal representations and those carried by superfields on analytic superspace.

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