Casimir operators for the Super-Poincare algebra in D dimensions and the decomposition of the scalar superfield
Thesis/Dissertation
·
OSTI ID:5796181
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 antisymmetric Bargmann-Wigner multispinor fields. Some Lagrangians for these superfields are written down. The four and ten dimensional cases are also exposed. Tables for all these cases are presented.
- Research Organization:
- California Univ., Los Angeles (USA)
- OSTI ID:
- 5796181
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CASIMIR OPERATORS
FIELD THEORIES
FUNCTIONS
KALUZA-KLEIN THEORY
LAGRANGIAN FUNCTION
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
POINCARE GROUPS
SPINORS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CASIMIR OPERATORS
FIELD THEORIES
FUNCTIONS
KALUZA-KLEIN THEORY
LAGRANGIAN FUNCTION
LIE GROUPS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL OPERATORS
POINCARE GROUPS
SPINORS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
UNIFIED-FIELD THEORIES