Constructs abelian (s,s1,s2) cubic vertices for N=2 higher-spin supermultiplets that exist only for s ≥ s1+s2 and take the universal form of a gauge prepotential coupled to a conserved supercurrent from Weyl supertensors, including a new complex principal supercurrent when s1 ≠ s2.
Non-conformal higher spin supercurrents
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abstract
In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin $(s+\frac 12)$, where $s=2,3, \dots$. These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are dual to each other and describe two massless fields of spin $(s+\frac 12)$ and $(s+1)$ upon elimination of the auxiliary fields. They respectively reduce, in the limiting case of $s=1$, to the linearised actions for the old minimal and the $n=-1$ non-minimal ${\cal N}=1$ supergravity theories. Associated with these gauge massless theories are non-conformal higher spin supercurrent multiplets which we describe. We demonstrate that the longitudinal higher spin supercurrents are realised in the model for a massive chiral scalar superfield only if $s$ is odd, $s=2n+1$, with $n= 1,2, \dots$.
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hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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Novel $\mathcal{N}=2$ higher-spin supercurrents
Constructs abelian (s,s1,s2) cubic vertices for N=2 higher-spin supermultiplets that exist only for s ≥ s1+s2 and take the universal form of a gauge prepotential coupled to a conserved supercurrent from Weyl supertensors, including a new complex principal supercurrent when s1 ≠ s2.
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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.