c--Map,very Special Quaternionic Geometry and Dual Kahler Spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, LaTeX, typos corrected, comments added

Scientific paper

10.1016/j.physletb.2004.03.009

We show that for all very special quaternionic manifolds a different N=1 reduction exists, defining a Kaehler Geometry which is ``dual'' to the original very special Kaehler geometry with metric G_{a\bar{b}}= - \partial_a \partial_b \ln V (V={1/6}d_{abc}\lambda^a \lambda^b \lambda^c). The dual metric g^{ab}=V^{-2} (G^{-1})^{ab} is Kaehler and it also defines a flat potential as the original metric. Such geometries and some of their extensions find applications in Type IIB compactifications on Calabi--Yau orientifolds.

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