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arXiv · hep-th/9310067

Hidden symmetries, special geometry and quaternionic manifolds

B. de Wit·A. Van Proeyen
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Abstract

The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same {\em special geometry} that is known from nonlinear sigma models in $N=2$ supergravity theories. We discuss the symmetry structure of special real, complex and quaternionic spaces. Maps between these spaces are implemented via dimensional reduction. We analyze the emergence of {\em extra} and {\em hidden} symmetries. This analysis is then applied to homogeneous special spaces and the implications for the classification of homogeneous quaternionic spaces are discussed.

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B. de Wit, A. Van Proeyen. 1993-10-13. Hidden symmetries, special geometry and quaternionic manifolds. https://doi.org/10.1142/s0218271894000058

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