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Generalized Kähler Manifolds and Off-shell Supersymmetry

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Abstract

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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Authors and Affiliations

  1. Department of Theoretical Physics, Uppsala University, Box 803, SE-751 08, Uppsala, Sweden

    Ulf Lindström & Maxim Zabzine

  2. HIP-Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FIN-00014, Suomi, Finland

    Ulf Lindström

  3. C.N.Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY, 11794-3840, USA

    Martin Roček

  4. Institute for Theoretical Physics, Masaryk University, 61137, Brno, Czech Republic

    Rikard von Unge

  5. Kavli Institute of Theoretical Physics, University of California, Santa Barbara, CA, 93106, USA

    Maxim Zabzine

Authors
  1. Ulf Lindström
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  2. Martin Roček
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  3. Rikard von Unge
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  4. Maxim Zabzine
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Corresponding author

Correspondence to Maxim Zabzine.

Additional information

Communicated by M.R. Douglas

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Lindström, U., Roček, M., von Unge, R. et al. Generalized Kähler Manifolds and Off-shell Supersymmetry. Commun. Math. Phys. 269, 833–849 (2007). https://doi.org/10.1007/s00220-006-0149-3

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  • DOI: https://doi.org/10.1007/s00220-006-0149-3

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