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arXiv · 1904.13336

Progress on cubic interactions of arbitrary superspin supermultiplets via gauge invariant supercurrents

S. James Gates Jr.·K. Koutrolikos
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Abstract

We consider cubic interactions of the form $s-Y-Y$ between a massless integer superspin $s$ supermultiplet and two massless arbitrary integer or half integer superspin $Y$ supermultiplets. We focus on non-minimal interactions generated by gauge invariant supercurrent multiplets which are bilinear in the superfield strength of the superspin $Y$ supermultiplet. We find two types of consistent supercurrents. The first one corresponds to conformal integer superspin $s$ supermultiplets, exist only for even values of $s, s=2\ell+2$, for arbitrary values of $Y$ and it is unique. The second one, corresponds to Poincar\'e integer superspin $s$ supermultiplets, exist for arbitrary values of $s$ and $Y$.

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S. James Gates Jr., K. Koutrolikos. 2019-04-30. Progress on cubic interactions of arbitrary superspin supermultiplets via gauge invariant supercurrents. https://doi.org/10.1016/j.physletb.2019.134868

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