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Semichiral Sigma models with 4D hyperkähler geometry

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Abstract

Semichiral sigma models with a four-dimensional target space do not support extended N = (4, 4) supersymmetries off-shell [1,2]. We contribute towards the understanding of the non-manifest on-shell transformations in (2, 2) superspace by analyzing the extended on-shell supersymmetry of such models and find that a rather general ansatz for the additional supersymmetry (not involving central charge transformations) leads to hyperkähler geometry. We give non-trivial examples of these models.

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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

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

    M. Roček

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

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ArXiv ePrint: 1207.4753v1

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Göteman, M., Lindström, U. & Roček, M. Semichiral Sigma models with 4D hyperkähler geometry. J. High Energ. Phys. 2013, 73 (2013). https://doi.org/10.1007/JHEP01(2013)073

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  • DOI: https://doi.org/10.1007/JHEP01(2013)073

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