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arxiv: hep-th/0004019 · v3 · submitted 2000-04-04 · ✦ hep-th · math.DG

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

classification ✦ hep-th math.DG
keywords backgroundparticlespacessuperconformalactionahler-likeanti-de-sitterbelong
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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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