The Geometry of Sigma-Models with Twisted Supersymmetry

Details The Geometry of Sigma-Models with Twisted Supersymmetry The Geometry of Sigma-Models with Twisted Supersymmetry

1999-07-07

arxiv.org/abs/hep-th/9907046v1

Nucl.Phys. B561 (1999) 293-315

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX, no figures

Scientific paper

10.1016/S0550-3213(99)00528-3

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-K\"{a}hler sigma models, we give extended superspace formulations.

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