N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravity
Abstract We propose an N $$ \mathcal{N} $$ = 3 nonlinear multiplet coupled to conformal supergravity and use it to formulate the equations of motion for N $$ \mathcal{N} $$ = 3 Poincaré supergravity. These equations, which are naturally described in a new curved supergeometry with structure group SL...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)262 |
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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 We propose an N $$ \mathcal{N} $$ = 3 nonlinear multiplet coupled to conformal supergravity and use it to formulate the equations of motion for N $$ \mathcal{N} $$ = 3 Poincaré supergravity. These equations, which are naturally described in a new curved supergeometry with structure group SL(2, ℂ), imply that the N $$ \mathcal{N} $$ = 3 super-Bach tensor vanishes, and thus every solution of Poincaré supergravity is a solution of conformal supergravity. The aforementioned superspace formulation, which we refer to as N $$ \mathcal{N} $$ = 3 Einstein superspace, is described in terms of two dimension-1/2 superfields: (i) the super-Weyl spinor W α ; and (ii) a spinor isospinor χ α i $$ {\chi}_{\alpha}^i $$ . |
| format | Article |
| id | doaj-art-de9fcc36571b496f94d9364c036d61a6 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-de9fcc36571b496f94d9364c036d61a62025-08-20T04:01:47ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025713110.1007/JHEP07(2025)262N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravitySergei M. Kuzenko0Emmanouil S. N. Raptakis1Department of Physics M013, The University of Western AustraliaDepartment of Physics M013, The University of Western AustraliaAbstract We propose an N $$ \mathcal{N} $$ = 3 nonlinear multiplet coupled to conformal supergravity and use it to formulate the equations of motion for N $$ \mathcal{N} $$ = 3 Poincaré supergravity. These equations, which are naturally described in a new curved supergeometry with structure group SL(2, ℂ), imply that the N $$ \mathcal{N} $$ = 3 super-Bach tensor vanishes, and thus every solution of Poincaré supergravity is a solution of conformal supergravity. The aforementioned superspace formulation, which we refer to as N $$ \mathcal{N} $$ = 3 Einstein superspace, is described in terms of two dimension-1/2 superfields: (i) the super-Weyl spinor W α ; and (ii) a spinor isospinor χ α i $$ {\chi}_{\alpha}^i $$ .https://doi.org/10.1007/JHEP07(2025)262Extended SupersymmetrySupergravity ModelsSuperspaces |
| spellingShingle | Sergei M. Kuzenko Emmanouil S. N. Raptakis N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravity Journal of High Energy Physics Extended Supersymmetry Supergravity Models Superspaces |
| title | N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravity |
| title_full | N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravity |
| title_fullStr | N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravity |
| title_full_unstemmed | N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravity |
| title_short | N $$ \mathcal{N} $$ = 3 nonlinear multiplet and supergravity |
| title_sort | n mathcal n 3 nonlinear multiplet and supergravity |
| topic | Extended Supersymmetry Supergravity Models Superspaces |
| url | https://doi.org/10.1007/JHEP07(2025)262 |
| work_keys_str_mv | AT sergeimkuzenko nmathcaln3nonlinearmultipletandsupergravity AT emmanouilsnraptakis nmathcaln3nonlinearmultipletandsupergravity |