Hyper-Kahler geometries and nonlinear supermultiplets

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages; v2: formula (15) corrected

Scientific paper

It is presented a method of construction of sigma-models with target space geometries different from conformally flat ones. The method is based on a treating of a constancy of a coupling constant as a dynamical constraint following as an equation of motion. In this way we build N=4 and 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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