Invariant operators for the n-dimensional super-Poincare algebra and the decomposition of the scalar superfield

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527074· OSTI ID:5762418

Finkelstein, R; Villasante, M

An analysis of supersymmetric Kaluza--Klein theories is begun by obtaining the Casimir operators for the super-Poincare 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.

• Research Organization: Department of Physics, University of California, Los Angeles, California 90024
• OSTI ID: 5762418
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:6; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CASIMIR OPERATORS
DIMENSIONS
FIELD THEORIES
FUNCTIONS
GROUP THEORY
INVARIANCE PRINCIPLES
IRREDUCIBLE REPRESENTATIONS
KALUZA-KLEIN THEORY
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
POINCARE GROUPS
SCALAR FIELDS
SO GROUPS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES