ELLIPTIC MONOPOLES AND (4,0)-SUPERSYMMETRIC SIGMA MODELS WITH TORSION

Details ELLIPTIC MONOPOLES AND (4,0)-SUPERSYMMETRIC SIGMA MODELS WITH TORSION ELLIPTIC MONOPOLES AND (4,0)-SUPERSYMMETRIC SIGMA MODELS WITH TORSION

1995-05-19

arxiv.org/abs/hep-th/9505119v1

Phys.Lett.B356:249-255,1995

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, phyzzx

Scientific paper

10.1016/0370-2693(95)00756-B

We explicitly construct the metric and torsion couplings of two-dimensional (4,0)-super\-sym\-metric sigma models with target space a four-manifold that are invariant under a $U(1)$ symmetry generated by a tri-holomorphic Killing vector field that leaves in addition the torsion invariant. We show that the metric couplings arise from magnetic monopoles on the three-sphere which is the space of orbits of the group action generated by the tri-holomorphic Killing vector field on the sigma model target manifold. We also examine the global structure of a subclass of these metrics that are in addition $SO(3)$-invariant and find that the only non-singular one, for models with non-zero torsion, is that of $SU(2)\times U(1)$ WZW model.

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