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arXiv · 0803.2867

Non-anticommutative solitons

Sergei V. Ketov·Olaf Lechtenfeld
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Abstract

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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Sergei V. Ketov, Olaf Lechtenfeld. 2008-03-19. Non-anticommutative solitons. https://doi.org/10.1016/j.physletb.2008.04.045

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