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1	SUPERFIELD MODELS ON S^2 AND S^3 // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 219-223 We develop superfield models for constructing classical actions of various models with rigid supersymmetry on S^2 and S^3. We introduce superspaces based on supercoset manifolds SU(2\|1)/U(1) and SU(2\|1)/[U(1) × U(1)]. We show that models on S 3 with extended supersymmetry can have different versions which are invariant under different supersymmetry groups. Among the models with extended supersymmetry on S 3 we consider the N = 4 and N = 8 SYM theories, Gaiotto-Witten and ABJM models as well as their analogs on S^2. Keywords: superspace, supercoset, super Yang-Mills model	1408

SUPERFIELD MODELS ON S^2 AND S^3 // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 219-223

We develop superfield models for constructing classical actions of various models with rigid supersymmetry on S^2 and S^3. We introduce superspaces based on supercoset manifolds SU(2|1)/U(1) and SU(2|1)/[U(1) × U(1)]. We show that models on S 3 with extended supersymmetry can have different versions which are invariant under different supersymmetry groups. Among the models with extended supersymmetry on S 3 we consider the N = 4 and N = 8 SYM theories, Gaiotto-Witten and ABJM models as well as their analogs on S^2.

Keywords: superspace, supercoset, super Yang-Mills model

1408

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