Supersymmetric gauge theories on noncommutative superspace

Araki, Takeo; Ito, Katsushi; Ohtsuka, Akihisa

doi:10.1016/j.physletb.2003.08.038

Cited by 85 publications

(146 citation statements)

References 9 publications

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“…Again, we will find it necessary to shift the chiral superfield by a deformation dependent term in order to preserve the usual gauge theory. These shifts, similar to those found in [8] and [15], are derived in detail.…”

Section: Overviewsupporting

confidence: 81%

Gauged Wess–Zumino model in noncommutative Minkowski superspace

Cook

2006

Journal of Mathematical Physics

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We develop a gauged Wess-Zumino model in noncommutative Minkowski superspace. This is the natural extension of the work of Carlson and Nazaryan, which extended N = 1/2 supersymmetry written over deformed Euclidean superspace to Minkowski superspace. We investigate the interaction of the vector and chiral superfields. Noncommutativity is implemented by replacing products with star products. Although, in general, our star product is nonassociative, we prove that it is associative to the first order in the deformation parameter C. We show that our model reproduces the N = 1/2 theory in the appropriate limit, namely when the deformation parametersCαβ = 0. Essentially, we find the N = 1/2 theory and a conjugate copy. As in the N = 1/2 theory, a reparameterization of the gauge parameter, vector superfield and chiral superfield are necessary to write standard C-independent gauge theory. However, our choice of parameterization differs from that used in the N = 1/2 supersymmetry, which leads to some unexpected new terms.a similar paper has been submitted to JHEP testbetter@yahoo.com 1

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Section: Overviewsupporting

confidence: 81%

Gauged Wess–Zumino model in noncommutative Minkowski superspace

Cook

2006

Journal of Mathematical Physics

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“…The Lagrangian has no dimensionful coupling parameter and has U(1) R-symmetry. The deformation-induced operators consist of [3,13] …”

Section: Supersymmetric Gauge Theoriesmentioning

confidence: 99%

Wilsonian proof for renormalizability ofN=1/2supersymmetric field theories

Berenstein

Rey

2003

Phys. Rev. D

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We provide Wilsonian proof for renormalizability of four-dimensional quantum field theories with N = 1/2 supersymmetry. We argue that the non-hermiticity inherent to these theories permits assigning noncanonical scaling dimension both for the Grassman coordinates and superfields. This reassignment can be done in such a way that the non(anti)commutativity parameter is dimensionless, and then the rest of the proof ammounts to power counting. The renormalizability is also stable against adding standard four-dimensional soft-breaking terms to the theory. However, with the new scaling dimension assignments, some of these terms are not just relevant deformations of the theory but become marginal.

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“…However, using Seiberg-Witten map we can consider SU(N) or arbitrary groups. The N = ( 1 2 , 0) supersymmetric U(N) gauge theory is defined as follows [22,45]. The gauge symmetry acts on the real Lie algebra valued vector superfield infinitesimally as…”

Section: Gauge Theory and Restriction Of The Gauge Groupmentioning

confidence: 99%

“…Again, to ensure the standard gauge transformations of the component fields, we have to modify the antichiral field (27) as [45]:…”

Section: Gauge Theory and Restriction Of The Gauge Groupmentioning

confidence: 99%

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Seiberg-Witten Map for Superfields onN=(1/2,0) andN=(1/2,1/2) Deformed Superspace

Mikulovic¹

2004

J. High Energy Phys.

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In this paper we construct the Seiberg-Witten maps for superfields on the θ − θ deformed superspaces with N = ( 1 2 , 0) and N = ( 1 2 , 1 2 ) supersymmety. We show that on the N = ( 1 2 , 0) deformed superspace there is no SeibergWitten map for antichiral superfields which is at the same time antichiral, local and which preserves the N = ( 1 2 , 0) supersymmetry. Solutions which break this requirements are presented. On the N = ( 1 2 , 1 2 ) deformed superspace we show that for the chiral gauge parameter, and therefore also for the chiral matter field, there is no chiral Seiberg-Witten map. Some other possible Seiberg-Witten maps for the superfields are presented.

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Supersymmetric gauge theories on noncommutative superspace

Cited by 85 publications

References 9 publications

Gauged Wess–Zumino model in noncommutative Minkowski superspace

Gauged Wess–Zumino model in noncommutative Minkowski superspace

Wilsonian proof for renormalizability ofN=1/2supersymmetric field theories

Seiberg-Witten Map for Superfields onN=(1/2,0) andN=(1/2,1/2) Deformed Superspace

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