Supertwistor realization of SU(2,2/1)

Journal Article · Mon Jul 01 04:00:00 EDT 1985 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.526898· OSTI ID:5539898

Luehr, C P; Rosenbaum, M

A space of supertwistors is introduced as a graded vector space by starting with ordinary twistor space multiplied with even Grassmann coefficients and combining it by an othogonal direct sum with a one-dimensional space multiplied with odd Grassmann coefficients. A treatment of the algebraic properties of supertwistor space and of Grassmann-linear transformations on this space lead to a systematic procedure for deriving the structure equations for the graded Lie algebra su (2,2/1).

• Research Organization: Centro de Estudios Nucleares, Universidad Nacional Autonoma de Mexico, Circuito Exterior, C. U. 04510 Mexico, D. F., Mexico
• OSTI ID: 5539898
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 26:7; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FIELD THEORIES
FUNCTIONALS
FUNCTIONS
GAUGE INVARIANCE
GRADED LIE GROUPS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL SPACE
SPACE
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SUPERGRAVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
TRANSFORMATIONS
TWISTOR THEORY
UNIFIED-FIELD THEORIES