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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Univ Sofia, Fac Math & Informat, Blvd James Bourchier 5, Sofia 1164, Bulgaria
Bulgarian Acad Sci, Inst Math & Informat, Sofia, BulgariaUniv Sofia, Fac Math & Informat, Blvd James Bourchier 5, Sofia 1164, Bulgaria
Ivanov, Stefan
Minchev, Ivan
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Univ Sofia, Fac Math & Informat, Blvd James Bourchier 5, Sofia 1164, Bulgaria
Masaryk Univ, Dept Math & Stat, Kotlarska 2, CS-61137 Brno, Czech RepublicUniv Sofia, Fac Math & Informat, Blvd James Bourchier 5, Sofia 1164, Bulgaria
Minchev, Ivan
Vassilev, Dimiter
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Univ New Mexico, Albuquerque, NM 87131 USAUniv Sofia, Fac Math & Informat, Blvd James Bourchier 5, Sofia 1164, Bulgaria
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Univ Poitiers, Lab Math & Applicat, Teleport 2,Blvd Marie & Pierre Curie,BP 30179, F-86962 Futuroscope, FranceUniv Poitiers, Lab Math & Applicat, Teleport 2,Blvd Marie & Pierre Curie,BP 30179, F-86962 Futuroscope, France
Beri, Pietro
Debarre, Olivier
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Univ Paris Cite, F-75013 Paris, France
Sorbonne Univ, CNRS, IMJ PRG, F-75013 Paris, FranceUniv Poitiers, Lab Math & Applicat, Teleport 2,Blvd Marie & Pierre Curie,BP 30179, F-86962 Futuroscope, France