Diagonalization Procedure for Reducible Massless N=1 Supermultiplets

Abstract

We consider N=1 supersymmetric systems in d=4, 6 and 10 dimensions which consist of reducible bosonic and fermionic massless representations of the Poincare group. We show in detail how to decompose the corresponding Lagrangians into a sum of Lagrangians for irreducible representations of the Poincare group. We also outline a modification of this procedure in the case of an anti-de Sitter background.

23 pages, LaTex; typos corrected, references and comments added; more references, comments and clarifications added, published version

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