Composite supersymmetries in low dimensional systems
Feb, 2002
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Abstract:
Starting from a N=1 scalar supermultiplet in 2+1 dimensions, we demonstrate explicitly the appearance of induced N=1 vector and scalar supermultiplets of composite operators made out of the fundamental supersymmetric constituents. We discuss an extension to a N=2 superalgebra with central extension, due to the existence of topological currents in 2+1 dimensions. As a specific model we consider a supersymmetric -model as the constituent theory, and discuss the relevance of these results for an effective description of the infrared dynamics of planar high-temperature superconducting condensed matter models with quasiparticle excitations near nodal points of their Fermi surface.- supersymmetry: composite
- multiplet
- dimension: 3
- current: topological
- field theoretical model: CP(1)
- condensed matter: superconductivity
- quasiparticle
- operator: composite
- Higgs model: abelian
- gauge field theory: U(1)
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