2011/01/26 by Marija Dimitrijević Ćirić, Marija Dimitrijevic, Biljana Nikolić +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.83.065010
published as Phys.Rev.D83:065010,2011 · 20 pages, no figures
arxiv created 2011/01/26 · openalex publication_date 2011/03/07 · arxiv updated 2011/03/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We discuss a deformation of superspace based on a Hermitian twist. The twist implies a \ensuremath⋆-product that is noncommutative, Hermitian and finite when expanded in a power series of the deformation parameter. The Leibniz rule for the twisted supersymmetry 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.