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arXiv · 2407.21573

Towards $\mathcal{N}=2$ superconformal higher-spin theory

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

Three years ago, we proposed free off-shell models for ${\mathcal N}=2$ superconformal higher-spin multiplets in arbitrary conformally flat backgrounds, constructed conserved conformal higher-spin supercurrents for a massless hypermultiplet, and sketched the Noether procedure to generate its cubic couplings to the superconformal higher-spin multiplets. This paper is devoted to completing the Noether procedure. Specifically, we: (i) describe the unique off-shell primary extensions of the conformal higher-spin supercurrents; (ii) embed the off-shell superconformal prepotentials into primary unconstrained isotwistor multiplets; and (iii) present the unique gauge transformations of the hypermultiplet and the isotwistor prepotentials. An extension of the Noether procedure beyond the cubic level is also sketched, following the earlier ${\mathcal N}=1$ superconformal approach developed by the authors and Ponds in 2022. Our construction is based on making use of the polar hypermultiplet within the projective-superspace setting.

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Sergei M. Kuzenko, Emmanouil S. N. Raptakis. 2024-11-08. Towards $\mathcal{N}=2$ superconformal higher-spin theory. https://arxiv.org/abs/2407.21573

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