Non-anticommutative solitons

Details Non-anticommutative solitons Non-anticommutative solitons

2008-03-19

arxiv.org/abs/0803.2867v1

Phys.Lett.B663:353-359,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+10 pages

Scientific paper

10.1016/j.physletb.2008.04.045

Certain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static CP^1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.

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