On the symplectic structure of harmonic superspace

Journal Article · Tue Nov 10 04:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92003215· OSTI ID:6990953

Kachkachi, M; Saidi, E H ^[1]

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1. 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), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:28; ISSN IMPAEF; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COUPLING CONSTANTS
EIGENVALUES
HARMONIC POTENTIAL
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
MATHEMATICS
NUCLEAR POTENTIAL
POTENTIALS
SPACE
SUPERSYMMETRY
SYMMETRY