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arXiv · hep-th/0401161

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

R. D'Auria·Sergio Ferrara·M. Trigiante
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Abstract

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}λ^a λ^b λ^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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R. D'Auria, Sergio Ferrara, M. Trigiante. 2004-02-06. c--Map,very Special Quaternionic Geometry and Dual Kahler Spaces. https://doi.org/10.1016/j.physletb.2004.03.009

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