The Definitions of Special Geometry
Ben Craps, Frederik Roose, Walter Troost, Antoine Van Proeyen
Abstract
The scalars in vector multiplets of N=2 supersymmetric theories in 4 dimensions exhibit `special Kaehler geometry', related to duality symmetries, due to their coupling to the vectors. In the literature there is some confusion on the definition of special geometry, which we want to clear up, for rigid as well as for local N=2.
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