We present a method of construction of sigma-models with target space geometries different from conformally flat ones. The method is based on treating the constancy of a coupling constant as a dynamical constraint following as an equation of motion. In this way we build N = 8 supersymmetric four-dimensional sigma-models in d = 1 with hyper-Kahler target space possessing one isometry, which commutes with supersymmetry.
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UPMC Paris 06, Sorbonne Univ, LPTHE, UMR 7589, F-75005 Paris, France
CNRS, UMR 7589, LPTHE, F-75005 Paris, FranceUPMC Paris 06, Sorbonne Univ, LPTHE, UMR 7589, F-75005 Paris, France
Halmagyi, Nick
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Israel, Dan
Sarkis, Matthieu
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UPMC Paris 06, Sorbonne Univ, LPTHE, UMR 7589, F-75005 Paris, France
CNRS, UMR 7589, LPTHE, F-75005 Paris, FranceUPMC Paris 06, Sorbonne Univ, LPTHE, UMR 7589, F-75005 Paris, France
Sarkis, Matthieu
Svanes, Eirik Eik
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Sorbonne Univ, Inst Lagrange Paris, 98 Bis Bd Arago, F-75014 Paris, FranceUPMC Paris 06, Sorbonne Univ, LPTHE, UMR 7589, F-75005 Paris, France