Massive and massless representations of the super-Poincare algebra in 10 dimensions and the decomposition of the scalar superfield

Miscellaneous · Fri Jan 01 00:00:00 EST 1988

OSTI ID:7184066

Kwon, P S

Casimir operators and the Cartan subalgebra are used to construct the scalar superfields in 10-dimensions. In massless case it is shown that the scalar superfield contains two irreducible pieces, one bosonic and one fermionic. The bosonic one contains the supergravity multiplet. Supersymmetric version of the Cartan subalgebra is used to obtain the explicit expressions of the irreducible superfields. In massive case the scalar superfield contains two bosonic and one fermionic irreducible components. It is shown explicitly that the one of the bosonic pieces reduces to the above mentioned massless bosonic piece containing the supergravity multiplet in the massless limit. Supersymmetric generators corresponding to the root vectors of the Lie algebra are found and used with the Cartan subalgebra to construct the irreducible scalar superfields. Finally this method is also applied to the 4-dimensional case and as a result the Transverse Vector Superfield is obtained.

• Research Organization: California Univ., Los Angeles, CA (USA)
• OSTI ID: 7184066
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CASIMIR OPERATORS
SCALAR FIELDS
MATHEMATICAL MODELS
BOSONS
FERMIONS
FIELD ALGEBRA
MANY-DIMENSIONAL CALCULATIONS
SUPERGRAVITY
SUPERSYMMETRY
FIELD THEORIES
MATHEMATICAL OPERATORS
SYMMETRY
UNIFIED-FIELD THEORIES
990200* - Mathematics & Computers
657000 - Theoretical & Mathematical Physics