2012/07/19 by Malin Göteman, Ulf Lindström, Martin Rocek
Mathematics · Physics and Astronomy · #hep-th #math.DG
paper · pdf · doi:10.1007/jhep01(2013)073
19 pages
arxiv created 2012/07/19 · arxiv updated 2015/06/05
Semichiral sigma models with a four-dimensional target space do not support extended N=(4,4) supersymmetries off-shell arXiv:0903.2376, arXiv:0912.4724. We contribute towards the understanding of the non-manifest on-shell transformations in (2,2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkähler geometry. We give non-trivial examples of these models.