Twisted SUSY: twisted symmetry versus renormalizability
Marija Dimitrijevic, Biljana Nikolic, Voja Radovanovic
TL;DR
This paper explores a hermitian twist deformation of superspace affecting supersymmetry transformations and the Wess-Zumino model, revealing potential issues with renormalizability due to twisted symmetry modifications.
Contribution
It introduces a hermitian twist deformation of superspace, analyzes its impact on supersymmetry and renormalizability, and discusses possible ways to achieve a renormalizable model.
Findings
No tadpole contributions in the deformed model
Two-point function exhibits divergence
Twisted symmetry may hinder renormalizability
Abstract
We discuss a deformation of superspace based on a hermitian twist. The twist implies a -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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