Hidden Symmetries, Special Geometry and Quaternionic Manifolds
نویسنده
چکیده
The moduli space of the Calabi-Yau three-folds, which play a role as superstring ground states, exhibits the same 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 extra and hidden symmetries. This analysis is then applied to homogeneous special spaces and the implications for the classification of homogeneous quaternionic spaces are discussed. † Invited talk given at the Journées Relativistes ’93, Brussels, 5-7 April 1993; to be published in the proceedings.
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