We show that the isometries of the manifold of scalars in N = 2 supergravity in d = 5 space-time dimensions can be broken by the supergravity interactions. The opposite conclusion holds for the dimensionally reduced d = 4 theories, where the isometries of the scalar manifold are always symmetries of the full theory. These spaces, which form a subclass of the special Kahler manifolds, are relevant for superstring compactifications.
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[1]
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