Generalized Kahler manifolds and off-shell supersymmetry

Details Generalized Kahler manifolds and off-shell supersymmetry Generalized Kahler manifolds and off-shell supersymmetry

2005-12-14

arxiv.org/abs/hep-th/0512164v2

Commun.Math.Phys. 269 (2007) 833-849

Physics

High Energy Physics

High Energy Physics - Theory

21 pages; references clarified and added; theorem generalized; typos corrected

Scientific paper

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 Kahler potential for any generalized Kahler manifold; this potential is the superspace Lagrangian.

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