A renormalisable non-anticommutative supersymmetric SU(<i>N</i>)⊗U(1) gauge theory in components

Jack, I.; Jones, D.R.T.; Purdy, Robert

doi:10.1088/1126-6708/2009/11/098

Cited by 3 publications

(5 citation statements)

References 43 publications

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“…In Ref. [38] we confirmed the conclusions of Ref. [34] in a component version of their superspace calculation.…”

Section: Introductionsupporting

confidence: 84%

“…The precise forms of these non-linear renormalisations are not required for our computation, as we shall explain; and will therefore be omitted, though once again they can be found (at one loop) in Ref. [38]. We then found in Ref.…”

Section: The Classical Adjoint Actionmentioning

confidence: 92%

“…The remaining renormalisation constants will not be required but the one-loop results can be found in Ref. [38]. The difference between Z Φ and Z φ , Z ψ is due solely to the choice of a non-supersymmetric gauge; the gauge-independent terms are the same, and since there are no gauge interactions for the U(1) fields anyway, we have…”

Section: The Classical Adjoint Actionmentioning

confidence: 99%

“…The results of Refs. [34,38] imply that the non-anticommutativity parameter (C) which specifies the superspace deformation in N = 1 2 supersymmetry is unrenormalised at one loop. It is clearly interesting to ask whether this feature persists at higher orders.…”

Section: Introductionmentioning

confidence: 99%

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Renormalisation of the non-anticommutativity parameter at two loops

Jack

Purdy

2011

J. High Energ. Phys.

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“…In Ref. [38] we confirmed the conclusions of Ref. [34] in a component version of their superspace calculation.…”

Section: Introductionsupporting

confidence: 84%

Section: The Classical Adjoint Actionmentioning

confidence: 92%

Section: The Classical Adjoint Actionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Renormalisation of the non-anticommutativity parameter at two loops

Jack

Purdy

2011

J. High Energ. Phys.

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“…This gives rise to a nonanticommutative deformation of the field theory, which in turn breaks half of its supersymmetry. Four-dimensional theories with N = 1/2 supersymmetry have been constructed by using non-anticommutative deformations of theories with N = 1 supersymmetry [43][44][45][46][47][48]. On the other hand, it is not possible to construct a three-dimensional theory with N = 1/2 supersymmetry using a non-anticommutative deformation of the superspace.…”

Section: So(1 3)] × [So(8)/so(7)] ⊂ O Sp(8|4)/[so(1 3)mentioning

confidence: 99%

Chern–Simons theory in SIM(1) superspace

Vohánka¹,

Faizal²

2015

Eur. Phys. J. C

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In this paper, we will analyze a three-dimensional supersymmetric Chern-Simons theory in S I M(1) superspace formalism. The breaking of the Lorentz symmetry down to the S I M(1) symmetry breaks half the supersymmetry of the Lorentz invariant theory. So, the supersymmetry of the Lorentz invariant Chern-Simons theory with N = 1 supersymmetry will break down to N = 1/2 supersymmetry, when the Lorentz symmetry is broken down to the S I M(1) symmetry. First, we will write the Chern-Simons action using S I M(1) projections of N = 1 superfields. However, as the S I M(1) transformations of these projections are very complicated, we will define S I M(1) superfields which transform simply under S I M(1) transformations. We will then express the Chern-Simons action using these S I M(1) superfields. Furthermore, we will analyze the gauge symmetry of this Chern-Simons theory. This is the first time that a Chern-Simons theory with N = 1/2 supersymmetry will be constructed on a manifold without a boundary.

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The role of field redefinition on renormalisability of a generalN=12supersymmetric gauge theories

2015

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We investigate some issues on renormalisability of non-anticommutative supersymmetric gauge theory related to field redefinitions. We study one loop corrections to N = 1 2 supersymmetric SU(N ) × U(1) gauge theory coupled to chiral matter in component formalism, and show the procedure which has been introduced for renormalisation is problematic because some terms which are needed for the renormalisability of theory are missed from the Lagrangian. In order to prove the theory is renormalisable, we redefine the gaugino and the auxiliary fields (λ, F ), which result in a modified form of the Lagrangian in the component formalism. Then, we show the modified Lagrangian has extra terms which are necessary for renormalisability of non-anticommutative supersymmetric gauge field theories. Finally, we prove N = 1 2 supersymmetric gauge theory is renormalisable up to one loop corrections using standard method of renormalisation; besides, it is shown the effective action is gauge invariant.

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A renormalisable non-anticommutative supersymmetric SU(N)⊗U(1) gauge theory in components

Abstract: We discuss the non-anticommutative (N = 1 2 ) supersymmetric SU (N ) ⊗ U (1) gauge theory including a superpotential. We show how recent proposals for obtaining a renormalisable version of the theory may be implemented in the component formalism at the one-loop level.

Cited by 3 publications

References 43 publications

Renormalisation of the non-anticommutativity parameter at two loops

Renormalisation of the non-anticommutativity parameter at two loops

Chern–Simons theory in SIM(1) superspace

The role of field redefinition on renormalisability of a generalN=12supersymmetric gauge theories

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