Geodesic
Nonanticommutative deformations of $N=(1,1)$ supersymmetric theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 235-251

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We discuss chirality-preserving nilpotent deformations of the four-dimensional $N=(1,1)$ Euclidean harmonic superspace and their implications in $N=(1,1)$ supersymmetric gauge and hypermultiplet theories. For the $SO(4)\times SU(2)$-invariant deformation, we present nonanticommutative Euclidean analogues of the $N=2$ gauge multiplet and hypermultiplet off-shell actions. As a new result, we consider a specific nonanticommutative hypermultiplet model with the $N=(1,0)$ supersymmetry. It involves free scalar fields and interacting right-handed spinor fields.
Keywords: nilpotent deformations, harmonic superspaces. 
@article{TMF_2005_142_2_a3,
     author = {E. A. Ivanov and B. M. Zupnik},
     title = {Nonanticommutative deformations of $N=(1,1)$ supersymmetric theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {235--251},
     publisher = {mathdoc},
     volume = {142},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a3/}
}
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E. A. Ivanov; B. M. Zupnik. Nonanticommutative deformations of $N=(1,1)$ supersymmetric theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 235-251. http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a3/