The Supersymmetric Extension of the Faddeev model
arXiv:hep-th/0310261 · doi:10.1016/j.nuclphysb.2004.01.012
Abstract
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.
12 pages
References in corpus (1)
Cited by in corpus (27)
- N=1 supersymmetric extension of the baby Skyrme model
- Extended Supersymmetry and BPS solutions in baby Skyrme models
- BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
- A supersymmetric Skyrme model
- Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions
- Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
- Supersymmetric K field theories and defect structures
- Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
- Topological solitons in the supersymmetric Skyrme model
- The Hopf Skyrmion in QCD with Adjoint Quarks
- Fractional vortex molecules and vortex polygons in a baby Skyrme model
- Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?
- A higher-order Skyrme model
- Skyrme-like models and supersymmetry in 3+1 dimensions
- Baby Skyrme model and fermionic zero modes
- Supersymmetry Breaking in Spatially Modulated Vacua
- Near-BPS baby Skyrmions
- Ghost-free vector superfield actions in supersymmetric higher-derivative theories
- Supersymmetric galileons and auxiliary fields in 2+1 dimensions
- Atiyah-Manton Construction of Skyrmions in Eight Dimensions
- Toroidal domain walls as Hopfions
- Non-Abelian Vortex-String Dynamics from Nonlinear Realization
- Knotted instantons from annihilations of monopole-instanton complex
- Near-BPS baby Skyrmions with Gaussian tails
- Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
- Supersymmetric extensions of K field theories
- Moduli spaces and breather dynamics of analytic solutions in Heisenberg exchange-free chiral magnets