Geodesic
Deformations of Euclidean supersymmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 2, pp. 270-289

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We consider quantum supergroups that arise in nonanticommutative deformations of the $N{=}(1/2,1/2)$ and $N{=}(1,1)$ four-dimensional Euclidean supersymmetric theories. Twist operators in the corresponding superspaces and deformed superfield algebras contain left spinor generators. We show that nonanticommutative $\star$-products of superfields transform covariantly under the deformed supersymmetries. This covariance guarantees the invariance of the deformed superfield actions of models involving $\star$-products of superfields.
Keywords: supersymmetry, superspace, deformation, twist. 
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     author = {B. M. Zupnik},
     title = {Deformations of {Euclidean} supersymmetries},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {270--289},
     publisher = {mathdoc},
     volume = {147},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2006_147_2_a4/}
}
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B. M. Zupnik. Deformations of Euclidean supersymmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 2, pp. 270-289. http://geodesic.mathdoc.fr/item/TMF_2006_147_2_a4/