A relation between deformed superspace and Lee-Wick higher-derivative theories

作者:Dias M; Ferrari A F*; Palechor C A; Senise C R Jr
来源:Journal of Physics A-Mathematical and Theoretical, 2015, 48(27): 275403.
DOI:10.1088/1751-8113/48/27/275403

摘要

We propose a non-anticommutative superspace that relates to the Lee-Wick type of higher-derivative theories, which are known for their interesting properties and have led to proposals of phenomenologically viable higher-derivative extensions of the Standard Model. The deformation of superspace we consider does not preserve supersymmetry or associativity in general, but, we show that a non-anticommutative version of the Wess-Zumino model can be properly defined. In fact, the definition of chiral and antichiral superfields turns out to be simpler in our case than in the well known N = 1 2 supersymmetric case. We show that when the theory is truncated at the first nontrivial order in the deformation parameter, supersymmetry is restored, and we end up with a well-known Lee-Wick type of higher-derivative extension of the Wess-Zumino model. Thus, we show how non-anticommutativity could provide an alternative mechanism for generating these higher-derivative theories.

  • 出版日期2015-7-10