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Casimirs for the $N$-dimensional Superpoincare Algebra and the Decomposition of the Scalar Superfield

Authors
  • Finkelstein, R.
  • Villasante, M.
Publication Date
Nov 01, 1984
Identifiers
DOI: 10.1063/1.527074
OAI: oai:inspirehep.net:206234
Source
INSPIRE-HEP
Keywords
License
Unknown
External links

Abstract

An analysis of supersymmetric Kaluza–Klein theories is begun by obtaining the Casimir operators for the super‐Poincaré algebra in any number of dimensions. The knowledge of these operators is used to decompose the general scalar superfield in 11 dimensions into its irreducible parts. The irreducible superfields are expressed as products of Grassmann–Hermite functions and Grassmann–Bargmann–Wigner multispinor fields. Some Lagrangians for these superfields are written down. The formulation is off shell but global.

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