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Special geometry without special coordinates

L Castellani, R D'Auria and S Ferrara

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Presents a detailed geometric derivation of N=2, 4D supergravity coupled to Abelian vector multiplets (1,1/2,0). The theory is covariant under reparametrisations of the manifold M spanned by the scalar fields. By requiring the closure of the supersymmetry transformation laws, the authors find a coordinate-free characterisation of M. 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.


PACS

04.65.+e Supergravity

02.40.-k Geometry, differential geometry, and topology

MSC

83E50 Supergravity

53C26 Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 10 (October 1990)



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