English

Gauging the Heisenberg algebra of special quaternionic manifolds

High Energy Physics - Theory 2009-11-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0410290,
  title  = {Gauging the Heisenberg algebra of special quaternionic manifolds},
  author = {R. D'Auria and S. Ferrara and M. Trigiante and S. Vaulá},
  journal= {arXiv preprint arXiv:hep-th/0410290},
  year   = {2009}
}

Comments

9 pages, LaTeX