Generalized Kähler manifolds and off-shell supersymmetry

  title={Generalized K{\"a}hler manifolds and off-shell supersymmetry},
  author={Ulf Lindstr{\"o}m and Martin Ro{\vc}ek and Rikard von Unge and Maxim Zabzine},
We solve the long standing problem of finding an off-shell supersymmetric formulation for a general N = (2, 2) nonlinear two dimensional sigma model. Geometrically the problem is equivalent to proving the existence of special coordinates; these correspond to particular superfields that allow for a superspace description. We construct and explain the geometric significance of the generalized Kähler potential for any generalized Kähler manifold; this potential is the superspace Lagrangian. 
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