Abstract
N=2, 4D supergravity coupled to vector multiplets (1, 1 2 , 0) is reanalysed in a geometrical setting. By requiring the closure of the supersymmetry transformation laws, we find a coordinate-free characterization of the manifold M spanned by the scalar fields. The geometry of M , called “special geometry”, is relevant to compactified string theories, since it is common to the moduli spaces of Calabi-Yau threefolds and c=9 (2, 2) superconformal field theories.
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