The geometry of sigma models with twisted supersymmetry Original Research Article

We investigate the relation between supersymmetry and geometry for two-dimensional sigma models with target spaces of arbitrary signature, and Lorentzian or Euclidean world-sheets. In particular, we consider twisted forms of the two-dimensional (p,q) supersymmetry algebra. Superspace formulations of the (p,q) heterotic sigma models with twisted or untwisted supersymmetry are given. For the twisted (2,1) and the pseudo-Kähler sigma models, we give extended superspace formulations.