Duality Transformations and Most General Matter Self-Coupling in N=2 Supersymmetry

摘要

Formulation of N=2 matter multiplets with a finite number of auxiliary fields in the harmonic superspace approach is discussed. All of them are shown to be described by analytical harmonic superfields, subjected to outside couplings or possessing some gauge freedom. It is determined that N=2 is supersymmetric duality transformation. It helps to show that all self-couplings of the above superfields are equivalent to certain classes of general self-couplings of the main analytical representation of N=2 matter, q sup + -hypermultiplet. Thus, the most general q sup + -action describes the most general self-coupling of N=2 matter. As N=2 matter leads to hyper-Kaehler sigma models in the physical boson sector, it is likely to consider the proper analytic superfield Lagrangian density as hyper-Kaehler potential produced all conceivable hyper-Kaehler metrics. 29 references. (ERA citation 12:029592)