Special geometry, cubic polynomials and homogeneous quaternionic spaces
The authors classify all homogeneous quaternionic Kähler spaces which can be obtained by supersymmetric dimensional reduction, thereby finding new examples of such spaces which are absent from the classification due to \textit{D. V. Alekseevskiĭ} [Math. USSR, Izv. 9(1975), 297--339 (1976); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 39, No. 2, 315--362 (1975; Zbl 0309.53045)]. They conjecture that the so augmented list of normal quaternionic Kähler manifolds is complete.
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