N=4 Superconformal Mechanics and the Potential Structure of AdS Spaces
E. E. Donets, A. Pashnev, V. O. Rivelles, D. Sorokin, M. Tsulaia
Abstract
The dynamics of an N=4 spinning particle in a curved background is described using the N=4 superfield formalism. The SU(2)local× SU(2)global N=4 superconformal symmetry of the particle action requires the background to be a real "Kähler-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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