Semichiral Sigma models with 4D hyperkähler geometry
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Semichiral sigma models with a four-dimensional target space do not support extended N = (4, 4) supersymmetries off-shell [1,2]. 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.
KeywordsSupersymmetry and Duality Extended Supersymmetry Differential and Algebraic Geometry String Duality
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