N=4 Superconformal Mechanics and the Potential Structure of AdS Spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, 12 pages

Scientific paper

10.1016/S0370-2693(00)00670-5

The dynamics of an N=4 spinning particle in a curved background is described using the N=4 superfield formalism. The $SU(2)_{local}\times SU(2)_{global}$ N=4 superconformal symmetry of the particle action requires the background to be a real "K\"ahler-like" manifold whose metric is generated by a sigma-model superpotential. The anti-de-Sitter spaces are shown to belong to this class of manifolds.

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