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Sigma models with off-shell N = (4, 4) supersymmetry and noncommuting complex structures

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Abstract

We describe the conditions for extra supersymmetry in N = (2, 2) supersymmetric nonlinear sigma models written in terms of semichiral superfields. We find that some of these models have additional off-shell supersymmetry. The (4, 4) supersymmetry introduces geometrical structures on the target-space which are conveniently described in terms of Yano f-structures and Magri-Morosi concomitants. On-shell, we relate the new structures to the known bi-hypercomplex structures.

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Authors and Affiliations

  1. Department Physics and Astronomy, Division for Theoretical Physics, Uppsala University, Box 803, SE-751 08, Uppsala, Sweden

    M. Göteman, U. Lindström & Itai Ryb

  2. C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY, 11794-3840, U.S.A.

    M. Roček & Itai Ryb

Authors
  1. M. Göteman
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  2. U. Lindström
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  3. M. Roček
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  4. Itai Ryb
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Correspondence to M. Roček.

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Göteman, M., Lindström, U., Roček, M. et al. Sigma models with off-shell N = (4, 4) supersymmetry and noncommuting complex structures. J. High Energ. Phys. 2010, 55 (2010). https://doi.org/10.1007/JHEP09(2010)055

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