D-deformed Wess-Zumino model and its renormalizability properties

Abstract

Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N=1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives $D_{\alpha }$. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the literature. Finally, by calculating divergences of the two-point Green functions a preliminary analysis of renormalizability properties of the constructed model is done. As expected, there is no renormalization of mass and no tadpole diagrams appear.

25 pages, no figures, some comments and references added, accepted for publication in JHEP

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Cited by in corpus (6)

• N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
• Fermionic T-duality and momenta noncommutativity
• $C{P}^{(N-1)}$ model in aether-superspace
• (Non)renormalizability of the D-deformed Wess-Zumino model
• Twisted SUSY: twisted symmetry versus renormalizability
• Twisted Supersymmetry in a Deformed Wess-Zumino Model in (2+1) Dimensions