The Supersymmetric Extension of the Faddeev model

Details The Supersymmetric Extension of the Faddeev model The Supersymmetric Extension of the Faddeev model

2003-10-28

arxiv.org/abs/hep-th/0310261v1

Nucl.Phys. B681 (2004) 65-76

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/j.nuclphysb.2004.01.012

We study the supersymmetric extension of the Faddeev model in four dimensions. The Faddeev model contains three dimensional soliton solutions and we are interested in how these solitons are affected by supersymmetry. We consider both the N=1 and N=2 extensions and find that in neither case it is possible to supersymmetrize the model without adding additional bosonic terms. There are essentially two ways of constructing the supersymmetric theory, one that will lead to a model which allows for solitons and another that gives a model where solitons are excluded. The N=2 model is studied since extending supersymmetry is the natural way of including topological charges in the algebra. A lower bound to the mass is obtained by computing the central charge. The result is that it is possible to have a non-trivial lower bound on the mass, this in principle allows for massive solitons.

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