N = 1/2 supersymmetric gauge theory in noncommutative space

Dayi, Omer Faruk; Kelleyane, Lara T.

doi:10.1209/0295-5075/78/21004

Cited by 4 publications

(5 citation statements)

References 45 publications

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“…Thus, as our original theory had Af = 1 supersymmetry, the resultant theory after this modification only has Af -1/2 supersymmetry. Unlike the four-dimensional case [20][21][22][23][24][25], we cannot break the supersymmetry of a three-dimensional theory with Af = 1 supersymmetry to AT -1/2 supersymmetry by using nonanticommutativity. This is because in four dimensions there are enough degrees of freedom to partially break the Af -1 supersymmetry.…”

Section: Three-dimensional Supersymmetrymentioning

confidence: 98%

“…The terminology Af = 1/2 supersymmetry is borrowed from nonanticommutative deformation of a theory in four dimensions. This is because in four dimen sions, it is also possible to break half the supersymmetry of a theory by deforming the theory to a nonanticommutative superspace [20][21][22][23][24][25]. So, if nonanticommutativity is imposed on a four-dimensional theory with Af = 1 supersymmetry, the resultant theory is called a theory with Af = 1/2 supersymmetry, as it preserves only half the supersymmetry of the original theory.…”

Section: Introductionmentioning

confidence: 99%

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Super-Yang-Mills theory inSIM(1)superspace

Vohánka

Faizal

2015

Phys. Rev. D

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In this paper, we will analyze three-dimensional supersymmetric Yang-Mills theory coupled to matter fields in S1M{ 1) superspace formalism. The original theory which is invariant under the full Lorentz group has AT = 1 supersymmetry. However, when we break the Lorentz symmetry down to SIM( 1) group, the SIM(l) superspace will break half the supersymmetry of the original theory. Thus, the resultant theory in SIM( 1) superspace will have Af = 1/2 supersymmetry. This is the first time that A f = 1 supersymmetry will be broken down to A f = 1/2 supersymmetry, for a three-dimensional theory, on a manifold without a boundary. This is because it is not possible to use nonanticommutativity to break A f = 1 supersymmetry down to A f = 1/2 supersymmetry in three dimensions.

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Section: Three-dimensional Supersymmetrymentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Super-Yang-Mills theory inSIM(1)superspace

Vohánka

Faizal

2015

Phys. Rev. D

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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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“…Such noncommutative deformation of ordinary field theories has motivated the study of non-anticommutative deformation of supersymmetric field theories [5]- [6]. The non-anticommutative deformation of supersymmetric gauge theories has also been studied [7]- [8]. In this deformation, the Grassmann coordinate of a superspace are promoted to non-anticommutating coordinates.…”

Section: Introductionmentioning

confidence: 99%

Supersymmetric Duality in Deformed Superloop Space

Faizal

Tsun

2015

Found Phys

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In this paper, we will analyse the superloop space formalism for a four dimensional supersymmetric Yang-Mills theory in deformed superspace. We will deform the N = 1 superspace by imposing non-anticommutativity. This non-anticommutative deformation of the superspace will break half the supersymmetry of the original theory. So, this theory will have N = 1/2 supersymmetry. We will analyse the superloop space duality for this deformed supersymmetric Yang-Mills theory using the N = 1/2 superspace formalism. We will demonstrate that the sources in the original theory will become monopoles in the dual theory, and the monopoles in the original theory will become sources in the dual theory.

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N = 1/2 supersymmetric gauge theory in noncommutative space

Cited by 4 publications

References 45 publications

Super-Yang-Mills theory inSIM(1)superspace

Super-Yang-Mills theory inSIM(1)superspace

Chern–Simons theory in SIM(1) superspace

Supersymmetric Duality in Deformed Superloop Space

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