Chern-Simons Couplings and Inequivalent Vector-Tensor Multiplets

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, LaTeX, typographical changes and minor corrections

Scientific paper

10.1016/S0550-3213(97)00126-0

The off-shell vector-tensor multiplet is considered in an arbitrary background of N=2 vector supermultiplets. We establish the existence of two inequivalent versions, characterized by different Chern-Simons couplings. In one version the vector field of the vector-tensor multiplet is contained quadratically in the Chern-Simons term, which implies nonlinear terms in the supersymmetry transformations and equations of motion. In the second version, which requires a background of at least two abelian vector supermultiplets, the supersymmetry transformations remain at most linear in the vector-tensor components. This version is of the type known to arise from reduction of tensor supermultiplets in six dimensions. Our work applies to any number of vector-tensor multiplets.

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