The Generalised Complex Geometry of SKT Spaces and (p,q) Supersymmetric Sigma Models

Authors: Chris Hull and Ulf Lindström Preprint number: UUITP-46/18 We provide a   generalised complex geometry formulation of the target space geometry of the (p,q) supersymmetric sigma model. This includes generalized Kähler geometry for (2,2), generalized hyperkähler geometry for (4,2), strong Kähler with torsion geometry for (2,1) and strong hyperkähler with torsion geometry for (4,1). Our formulation involves a chiral version of generalised complex structure.