Gauging the Heisenberg algebra of special quaternionic manifolds

We show that in N = 2 supergravity, with a special quaternionic manifold of (quaternionic) dimension h_1 + 1 and in the presence of h_2 vector multiplets, a h_2 + 1 dimensional abelian algebra, intersecting the 2h_1 + 3 dimensional Heisenberg algebra of quaternionic isometries, can be gauged provided the h_2 + 1 symplectic charge-vectors V_I, have vanishing symplectic invariant scalar product V_I x V_J = 0. For compactifications on Calabi-Yau three-folds with Hodge numbers (h_1, h_2) such condition generalizes the half-flatness condition as used in the recent literature. We also discuss non-abelian extensions of the above gaugings and their consistency conditions. (orig.)Available from TIB Hannover: RA 2999(04-211) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman