Abstract
We study the quantum properties of two theories with a non-anticommutative chiral singlet deformation ofN=(1, 1) supersymmetry: the Abelian model of a vector gauge multiplet and the model of a gauge multiplet interacting with a neutral hypermultiplet. Both these models are proved to be not only renormalizable but also finite.
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The participation was also supported by the RFBR travel grant, No. 06-02-26731. The work was supported by the following grants: RFBR grants, projects No. 06-02-16346 and No. 06-02-04012; INTAS grant; LRSS grant, project No. 4489.2006.2; the grant of the President of Russian Federation, project No. 7110.2006.2.
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Samsonov, I.B. On renormalizability of non-anticommutativeN=(1, 0) theories with singlet deformation. Czech J Phys 56, 1281–1286 (2006). https://doi.org/10.1007/s10582-006-0438-2
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DOI: https://doi.org/10.1007/s10582-006-0438-2