N=1 Superconformal Symmetry in Four Dimensions

Details N=1 Superconformal Symmetry in Four Dimensions N=1 Superconformal Symmetry in Four Dimensions

1997-03-26

arxiv.org/abs/hep-th/9703191v4

Int.J.Mod.Phys. A13 (1998) 1743-1772

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, no figure, LaTeX. New references added, A result corrected

Scientific paper

10.1142/S0217751X98000755

N=1, d=4 superconformal group is studied and its representations are discussed. Under superconformal transformations, left invariant derivatives and some class of superfields, including supercurrents, are shown to follow these representations. In other words, these superfields are quasi-primary by analogy with two dimensional conformal field theory. Based on these results, we find the general forms of the two-point and the three-point correlation functions of the quasi-primary superfields in a group theoretical way. In particular, we show that the two-point function of the supercurrent is unique up to a constant and the general form of the three-point function of the supercurrent has two free parameters.

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