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arXiv · 1710.10837

Non-conformal higher spin supercurrents

Jessica Hutomo·Sergei M. Kuzenko
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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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Jessica Hutomo, Sergei M. Kuzenko. 2017-10-30. Non-conformal higher spin supercurrents. https://doi.org/10.1016/j.physletb.2018.01.045

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