On the symplectic structure of harmonic superspace
- Lab. de Physique Theorique, Faculte des Sciences, Av. Ibn Battota, B.P. 1014, Rabat (Morocco)
In this paper, the symplectic properties of harmonic superspace are studied. It is shown that Diff(S[sup 2]) is isomorphic to Diff[sub 0](S[sup 3])/Ab(Diff[sub 0](S[sup 3])), where Diff[sub 0](S[sup 3]) is the group of the diffeomorphisms of S[sup 3] preserving the Cartan charge operator D[sup 0] and Ab(Diff[sub 0](S[sup 3])) is its Abelian subgroup generated by the Cartan vectors L[sub 0] = w[sup 0]D[sup 0]. The authors show also that the eigenvalue equation D[sup 0] [lambda](z) = 0 defines a symplectic structure in harmonic superspace, and the authors calculate the corresponding algebra. The general symplectic invariant coupling of the Maxwell prepotential is constructed in both flat and curved harmonic superspace. Other features are discussed.
- OSTI ID:
- 6990953
- Journal Information:
- International Journal of Modern Physics A; (United States), Vol. 7:28; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MATHEMATICAL SPACE
SUPERSYMMETRY
ALGEBRA
COUPLING CONSTANTS
EIGENVALUES
HARMONIC POTENTIAL
INVARIANCE PRINCIPLES
MATHEMATICS
NUCLEAR POTENTIAL
POTENTIALS
SPACE
SYMMETRY
662120* - General Theory of Particles & Fields- Symmetry
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661100 - Classical & Quantum Mechanics- (1992-)