Abstract
We explicitly construct a whole new class of nonlinear matter couplings in N = 2 supergravity theory in four dimensions. These are the first examples of couplings described by nonsymmetric and nonhomogeneous σ-model manifolds that include the recently found Pedersen self-dual metric with constant negative scalar curvature. We give 4 n-dimensional and multicenter generalizations of this σ-model coupling and discuss their relation to the hyper-Kähler geometry of Taub-NUT and multi-Taub-NUT metrics.
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