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abstract: 'We discuss a deformation of superspace based on a hermitian twist. The twist implies a $\star$-product that is noncommutative, hermitian and finite when expanded in power series of the deformation parameter. The Leibniz rule for the twisted SUSY transformations is deformed. A minimal deformation of the Wess-Zumino action is proposed and its renormalizability properties are discussed. There is no tadpole contribution, but the two-point function diverges. We speculate that the deformed Leibniz rule, or more generally the twisted symmetry, interferes with renormalizability properties of the model. We discuss different possibilities to render a renormalizable model.'
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[[**Marija Dimitrijevi' c, Biljana Nikoli' c and\
Voja Radovanovi' c** ]{}]{}

University of Belgrade, Faculty of Physics\
Studentski trg 12, 11000 Beograd, Serbia\

[**Keywords:**]{}[ supersymmetry, hermitian twist, deformed Wess-Zumino model, renormalizability]{}

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Introduction
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It is well known that Quantum Field Theory encounters problems at high energies and short distances. This suggests that the structure of space-time has to be modified at these scales. One possibility to modify the structure of space-time is to deform the usual commutation relations between coordinates; this gives a noncommutative (NC) space [@noncommspace]. Different models of noncommutativity were discussed in the literature, see [@NCbooks], [@NCbookMi] and 