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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Twisted supersymmetry in a deformed Wess-Zumino model in (2+1) dimensions

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Palechor, C. ; Ferrari, A. F. ; Quinto, A. G.
Total Authors: 3
Document type: Journal article
Source: Journal of High Energy Physics; n. 1 JAN 12 2017.
Web of Science Citations: 1

Non-anticommutative deformations have been studied in the context of supersymmetry (SUSY) in three and four space-time dimensions, and the general picture is that highly nontrivial to deform supersymmetry in a way that still preserves some of its important properties, both at the formal algebraic level (e. g., preserving the associativity of the deformed theory) as well as at the physical level (e. g., maintaining renormalizability). The Hopf algebra formalism allows the definition of algebraically consistent deformations of SUSY, but this algebraic consistency does not guarantee that physical models build upon these structures will be consistent from the physical point of view. We will investigate a deformation induced by a Drinfel'd twist of the N = 1 SUSY algebra in three space-time dimensions. The use of the Hopf algebra formalism allows the construction of deformed N = 1 SUSY algebras that should still preserve a deformed version of supersymmetry. We will construct the simplest deformed version of the Wess-Zumino model in this context, but we will show that despite the consistent algebraic structure, the model in question is not invariant under SUSY transformation and is not renormalizable. We will comment on the relation of these results with previous ones discussed in the literature regarding similar four-dimensional constructions. (AU)

FAPESP's process: 13/22079-8 - Physics of particles and fields: standard model and its extensions
Grantee:Adriano Antonio Natale
Support type: Research Projects - Thematic Grants
FAPESP's process: 14/24672-0 - Symmetries and physics beyond the standard model
Grantee:Alysson Fábio Ferrari
Support type: Regular Research Grants