Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theory
Abstract Three years ago, we proposed free off-shell models for N $$ \mathcal{N} $$ = 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 gene...
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Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2024-11-01
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Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | https://doi.org/10.1007/JHEP11(2024)013 |
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Summary: | Abstract Three years ago, we proposed free off-shell models for N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 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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ISSN: | 1029-8479 |