N=1 Superconformal Symmetry in 4-dimensions

Preprint

26 March 1997

preprint
Published by arXiv in arXiv

Abstract

The 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 for the 2-point and the 3-point Green functions of the quasi-primary superfields in a group theoretical way. In particular, we prove that the 2-point and the 3-point Green functions of supercurrents are unique and present the explicit formulae of them.

Keywords

SUPERCONFORMAL SYMMETRY
POINT GREEN FUNCTIONS
SUPERCONFORMAL GROUP
REPRESENTATIONS
SUPERCURRENTS
QUASI PRIMARY
SUPERFIELDS

All Related Versions

Version 1, 1997-03-26, ArXiv
Version 2, 1998-01-06, ArXiv
Version 3, 1998-07-24, ArXiv
Version 4, 1999-02-11, ArXiv
Version 1, 1999-10-26, ArXiv (Unconfirmed version)
Published version: International Journal of Modern Physics A, 13 (11), 1743.

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