Non-anticommutative N=(1,1) Euclidean Superspace

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We study deformations of four-dimensional N=(1,1)Euclidean superspace induced by non-anticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only, which generalizes the recently studied chiral deformation of N=(1/2,1/2) superspace. We present non-anticommutative Euclidean analogs of N=2 Maxwell and hypermultiplet off-shell actions. The talk is based on the paper hep-th/0308012.
LATEX file, 10 pages, Contribution to Proceedings of the International workshop "Supersymmetries and quantum symmetries", 24-29 July, Dubna, 2003

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