SUSY 2015, 23rd International Conference on Supersymmetry and Unification of Fundamental Interactions

23-29 August 2015
Lake Tahoe
US/Pacific timezone

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

25 Aug 2015, 15:30
30m
Alder ()

Alder

Fundamental and String Theory

Alysson Ferrari

Description

We propose a non-anticommutative superspace with the interesting property of relating to Lee-Wick type of higher derivatives theories, which are known for their interesting properties, and have lead to proposals of phenomenologicaly viable higher derivatives extensions of the Standard Model. The deformation of superspace we consider does not preserve supersymmetry or associativity in general, however, 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 generation of these kind of higher derivative theories.

Co-authors

Ms Carlos Palechor (UFABC) Prof. Carlos Senise (UNIFESP) Prof. Marco Dias (UNIFESP)