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arXiv · 2305.16029

The $\mathcal{N}=2$ superconformal gravitino multiplet

Daniel Hutchings·Sergei M. Kuzenko·Emmanouil S. N. Raptakis
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Abstract

We propose a new gauge prepotential $\Upsilon_i$ describing the four-dimensional ${\mathcal N}=2$ superconformal gravitino multiplet. The former naturally arises via a superspace reduction of the ${\mathcal N}=3$ conformal supergravity multiplet. A locally superconformal chiral action for $\Upsilon_i$, which is gauge-invariant in arbitrary conformally-flat backgrounds, is derived. This construction readily yields a new superprojector, which maps an isospinor superfield $\Psi_i$ to a multiplet characterised by the properties of a conformal supercurrent associated with $\Upsilon_i$. Our main results are also specialised to ${\mathcal N}=2$ anti-de Sitter superspace.

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Daniel Hutchings, Sergei M. Kuzenko, Emmanouil S. N. Raptakis. 2023-05-25. The $\mathcal{N}=2$ superconformal gravitino multiplet. https://arxiv.org/abs/2305.16029

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