Scalar Solitons in Non(anti)commutative Superspace

dc.creatorAbbaspur, Reza
dc.date2003-08-07
dc.date.accessioned2026-07-07T04:15:36Z
dc.date.available2026-07-07T04:15:36Z
dc.descriptionWe study solitonic solutions of a deformed Wess-Zumino model in 2 dimensions, corresponding to a deformation of the usual ${\cal N}=1,D=2$ 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 $F^{3}$ term coming from the deformation of the cubic superpotential. Both these modifications are proportional to the effective deformation parameter $λ\equiv \det C$, 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 ${\cal N}=1$ supersymmetry are discussed.
dc.description25 pages, Latex file, 2 eps figures
dc.identifierhttps://arxiv.org/abs/hep-th/0308050
dc.identifierhttp://arxiv.org/abs/hep-th/0308050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52063
dc.subjectHigh Energy Physics - Theory
dc.titleScalar Solitons in Non(anti)commutative Superspace
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