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Diagonalization Procedure for Reducible Massless N=1 Supermultiplets

Keith Glennon, Mirian Tsulaia

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.

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.

Paper Structure

This paper contains 9 sections, 108 equations.

Table of Contents

  1. Introduction
  2. Reducible N=1 supermultiplets
  3. Diagonalization for n=1
  4. Flat space-time
  5. Deformation to AdS space
  6. Diagonalization for n=2
  7. Diagonalization for a general n
  8. Conclusion
  9. Lagrangians and the algebra of operators on AdS space