Non-anticommutative solitons
High Energy Physics - Theory
2008-11-26 v1
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.
Cite
@article{arxiv.0803.2867,
title = {Non-anticommutative solitons},
author = {Sergei V. Ketov and Olaf Lechtenfeld},
journal= {arXiv preprint arXiv:0803.2867},
year = {2008}
}
Comments
1+10 pages