Seiberg-Witten Map for Superfields on<i>N</i>=(1/2,0) and<i>N</i>=(1/2,1/2) Deformed Superspace

Mikulovic, Dzo

doi:10.1088/1126-6708/2004/05/077

Cited by 11 publications

(12 citation statements)

References 61 publications

(96 reference statements)

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“…If we consider string theories in the R-R field strength or graviphoton background, coordinates of superspace become non(anti)commutative [3,4,5]. Various aspects of noncommutative superspace have been studied in [6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22]. Some studies from the viewpoint of supermatrix models are found in [23,24,25].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy supersphere and supermonopole

Hasebe

Kimura

2005

Nuclear Physics B

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It is well-known that coordinates of a charged particle in a monopole background become noncommutative. In this paper, we study the motion of a charged particle moving on a supersphere in the presence of a supermonopole. We construct a supermonopole by using a supersymmetric extension of the first Hopf map. We investigate algebras of angular momentum operators and supersymmetry generators. It is shown that coordinates of the particle are described by fuzzy supersphere in the lowest Landau level. We find that there exist two kinds of degenerate wavefunctions due to the supersymmetry. Ground state wavefunctions are given by the Hopf spinor and we discuss their several properties.

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Section: Introductionmentioning

confidence: 99%

Fuzzy supersphere and supermonopole

Hasebe

Kimura

2005

Nuclear Physics B

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“…We now determine what choice of A and B will preserve the reality of V while concurrently embedding (36). To the first order in C, we find under the above redefinitions that (31) becomes,…”

Section: Gauge Transformationsmentioning

confidence: 99%

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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“…As we will explicitly show, this is a generalization of SW map to non-anticommutative superspace. Generalizations of SW map to C deformed superspace are studied in [25] and [26]. It is also studied in harmonic superspace [27], [28].…”

Section: Introductionmentioning

confidence: 99%

N = 1/2 supersymmetric gauge theory in noncommutative space

Dayi

Kelleyane

2007

Europhys. Lett.

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A formulation of (non-anticommutative) N=1/2 supersymmetric U (N ) gauge theory in noncommutative space is studied. We show that at one loop UV/IR mixing occurs. A generalization of Seiberg-Witten map to noncommutative and non-anticommutative superspace is employed to obtain an action in terms of commuting fields at first order in the noncommutativity parameter θ. This leads to abelian and non-abelian gauge theories whose supersymmetry transformations are local and non-local, respectively.

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

Cited by 11 publications

References 61 publications

Fuzzy supersphere and supermonopole

Fuzzy supersphere and supermonopole

Gauged Wess–Zumino model in noncommutative Minkowski superspace

N = 1/2 supersymmetric gauge theory in noncommutative space

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