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

Autor(es)

Dias, M. ^[1] ; Ferrari, A. F. ^[2] ; Palechor, C. A. ^[2] ; Senise, Jr., C. R. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Paulo, Dept Ciencias Exatas & Terra, BR-09972270 Diadema, SP - Brazil

^[2] Univ Fed ABC, Ctr Ciencias Nat & Humanas, BR-09210170 Santo Andre, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 48, n. 27 JUL 10 2015.
• Citações Web of Science: 4

Resumo

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. (AU)

• Processo FAPESP: 13/22079-8 - Física de partículas e campos: modelo padrão e suas extensões
• Beneficiário: Adriano Antonio Natale
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 14/24672-0 - Simetrias e a física além do modelo padrão
• Beneficiário: Alysson Fábio Ferrari
• Modalidade de apoio: Auxílio à Pesquisa - Regular