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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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)013 |
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| author | Sergei M. Kuzenko Emmanouil S. N. Raptakis |
| author_facet | Sergei M. Kuzenko Emmanouil S. N. Raptakis |
| author_sort | Sergei M. Kuzenko |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-94b65156eb0c4f1aafb50d39c5314c2f |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-94b65156eb0c4f1aafb50d39c5314c2f2024-12-08T12:09:30ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241112710.1007/JHEP11(2024)013Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theorySergei M. Kuzenko0Emmanouil S. N. Raptakis1Department of Physics M013, The University of Western AustraliaDepartment of Physics M013, The University of Western AustraliaAbstract 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.https://doi.org/10.1007/JHEP11(2024)013Extended SupersymmetryHigher Spin GravityScale and Conformal SymmetriesSuperspaces |
| spellingShingle | Sergei M. Kuzenko Emmanouil S. N. Raptakis Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theory Journal of High Energy Physics Extended Supersymmetry Higher Spin Gravity Scale and Conformal Symmetries Superspaces |
| title | Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theory |
| title_full | Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theory |
| title_fullStr | Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theory |
| title_full_unstemmed | Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theory |
| title_short | Towards N $$ \mathcal{N} $$ = 2 superconformal higher-spin theory |
| title_sort | towards n mathcal n 2 superconformal higher spin theory |
| topic | Extended Supersymmetry Higher Spin Gravity Scale and Conformal Symmetries Superspaces |
| url | https://doi.org/10.1007/JHEP11(2024)013 |
| work_keys_str_mv | AT sergeimkuzenko towardsnmathcaln2superconformalhigherspintheory AT emmanouilsnraptakis towardsnmathcaln2superconformalhigherspintheory |