1995/05/19 by G. Papadopoulos · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.1016/0370-2693(95)00756-b
published as Phys.Lett.B356:249-255,1995 · 12 pages, phyzzx
arxiv created 1995/05/19 · openalex publication_date 1995/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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)× U(1) WZW model.