Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-11-23
Nucl.Phys. B740 (2006) 358-385
Physics
High Energy Physics
High Energy Physics - Theory
1+31 pages, 2 figures, uses axodraw.sty; v2: a misprint corrected; v3: a reference added; v.4: minor changes in the text, refe
Scientific paper
10.1016/j.nuclphysb.2006.02.022
We study the quantum properties of two theories with a non-anticommutative (or nilpotent) chiral singlet deformation of N=(1,1) supersymmetry: the abelian model of a vector gauge multiplet and the model of a gauge multiplet interacting with a neutral hypermultiplet. In spite of the presence of a negative-mass-dimension coupling constant (deformation parameter), both theories are shown to be finite in the sense that the full effective action is one-loop exact and contains finitely many divergent terms, which vanish on-shell. The beta-function for the coupling constant is equal to zero. The divergencies can all be removed off shell by a redefinition of one of the two scalar fields of the gauge multiplet. These notable quantum properties are tightly related to the existence of a Seiberg-Witten-type transformation in both models.
Buchbinder Ioseph L.
Ivanov Eugeny A.
Lechtenfeld Olaf
Samsonov Igor B.
Zupnik B. M.
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