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Paper   IPM / P / 7237
School of Physics
  Title:   Scalar Solitons in Non(anti)Commutative Superspace
  Author(s):  R. Abbaspur
  Status:   Preprint
  Journal:
  No.:  0
  Year:  2003
  Supported by:  IPM
  Abstract:
We study solitonic solutions of a deformed Wess-Zumino model in 2 dimensions, corresponding to a deformation of the usual N=1,D=2 superspace to the one with non-anticommuting odd supercoordinates. The deformation turns out to add a kinetic term for the auxiliary field besides the known F3 term coming from the deformation of the cubic superpotential. Both these modifications are proportional to the effective deformation parameter λ ≡ detC, where C denotes the non-anticommutativity matrix. We find a modified "orbit" equation which on the EOM relates the auxiliary and the scalar components of the scalar superfield as a first order correction to the usual relation in terms of the small parameter λ. Subsequently, we obtain the modified form of the first order BPS equation for the scalar field and find its solution to first order in λ. Issues such as modification of the BPS mass formula and a non-linear realization of the N=1 supersymmetry are discussed.

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