On the alternative formulation of the three-dimensional noncommutative superspace

Gama, F. S.; Nascimento, J. R.; Petrov, A. Yu.

doi:10.1142/s0217751x1650055x

Cited by 1 publication

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“…This lack of SUSY invariance is a surprise in this formalism since, differently from the N = 1/2 case in (3 + 1) dimensions [31], or also the three-dimensional deformations studied in [35,38], in the twist deformation we are considering the deformation is introduced in a way that the covariance of superfields and the algebra of supercharges is not deformed. However, this lack of SUSY invariance in the component formulation, despite the formally covariant construction was already pointed out in (3 + 1) dimensions in [43,45,54,55], where the twist formalism was also used.…”

Section: Twist Deformation Of the Susy Algebramentioning

confidence: 99%

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

Palechor

Ferrari

Quinto

2017

J. High Energ. Phys.

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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.

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Section: Twist Deformation Of the Susy Algebramentioning

confidence: 99%

“…Some options were first discussed in [35], where the strategy was to start with N = 2 SUSY, which was brought down to N = 1 by the deformation. The problem of deformation of N = 2 three-dimensional SUSY have been revisited recently [36][37][38], mostly motivated by the search of deformed variants of ABJM theories [39].…”

Section: Introductionmentioning

confidence: 99%