N=2 abelian higher-spin cubic (s1,s2,s2) vertices have analytic structure fully fixed by the supercurrents J++_{\alpha(s-1)\dot{\alpha}(s-1)}, J^+_{\alpha(s-1)\dot{\alpha}(s-2)} and \bar J^+_{\alpha(s-2)\dot{\alpha}(s-1)} for s1 \ge 2 s2.
Direct construction of a cubic selfinteraction for higher spin gauge fields
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Using Noether's procedure we directly construct a complete cubic selfinteraction for the case of spin s=4 in a flat background and discuss the cubic selfinteraction for general spin s with s derivatives in the same background. The leading term of the latter interaction together with the leading gauge transformation of first field order are presented.
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Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions
N=2 abelian higher-spin cubic (s1,s2,s2) vertices have analytic structure fully fixed by the supercurrents J++_{\alpha(s-1)\dot{\alpha}(s-1)}, J^+_{\alpha(s-1)\dot{\alpha}(s-2)} and \bar J^+_{\alpha(s-2)\dot{\alpha}(s-1)} for s1 \ge 2 s2.