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arXiv · hep-th/9612203

Chern-Simons Couplings and Inequivalent Vector-Tensor Multiplets

P. Claus·B. de Wit·M. Faux·P. Termonia
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Abstract

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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P. Claus, B. de Wit, M. Faux, P. Termonia. 1997-01-20. Chern-Simons Couplings and Inequivalent Vector-Tensor Multiplets. https://doi.org/10.1016/s0550-3213(97)00126-0

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