Symplectic sigma models in superspace

Abstract

We discuss a special ``symplectic'' class of N = 4 supersymmetric sigma models in (0+1) dimension with 5r bosonic and 4r complex fermionic degrees of freedom. These models can be described off shell by N = 2 superfields (so that only half of supersymmetries are manifest) and also by N = 4 superfields in the framework of the harmonic superspace approach. Using the latter, we derive the general form of the relevant bosonic target metric.

arXiv comment21 pages, Latex

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• N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
• Self-duality and supersymmetry
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• SU(2|2) supersymmetric mechanics
• N=8 Supersymmetric Quaternionic Mechanics
• N=8 Nonlinear Supersymmetric Mechanics
• Taming the zoo of supersymmetric quantum mechanical models
• Hyper-Kaehler geometry and dualization
• Deformed $\mathcal{N}=8$ mechanics of $(8,8,0)$ multiplets
• A new N = 8 nonlinear supermultiplet
• Low--dimensional sisters of Seiberg-Witten effective theory
• Real and complex supersymmetric d=1 sigma models with torsions
• On dynamics of 5D superconformal theories
• Target duality in N=8 superconformal mechanics and the coupling of dual pairs