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Paper   IPM / Physic / 6964
School of Physics
  Title:   Realization of Central Charges in Theories with Generalized Noncommutative Supersymmetry
  Author(s):  R. Abbaspur
  Status:   Published
  Journal: JHEP
  Vol.:  05
  Year:  2003
  Pages:   023
  Supported by:  IPM
In a recent paper [14] we have shown that the noncommutative SUSY algebra earlierly proposed in [13] has a natural interpretation and generalization in terms of a U(1) super gauge symmetry, and hence, it must be naturally realized by supersymmetric gauge theories on superspace. Here we further elaborate on this idea by considering a specific example of such models  the U(1) gauged supersymmetric sigma model with a superpotential term in D=2,N=1 superspace  and investigate the conditions under which the classical dynamics allows for the realization of a central charge in its associated generalized superalgebra. This realization accounts for an elegant interpretation of the central charge as a U(1)) charge for the elementary excitations as well as for the solitonic (BPS) solutions of the model under consideration.

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