Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS Space
We derived the component Lagrangian for the free <i>N</i>-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless superm...
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MDPI AG
2020-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/12/2052 |
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| author | Ioseph L. Buchbinder Timofey V. Snegirev |
| author_facet | Ioseph L. Buchbinder Timofey V. Snegirev |
| author_sort | Ioseph L. Buchbinder |
| collection | DOAJ |
| description | We derived the component Lagrangian for the free <i>N</i>-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless supermultiplets were formulated for <inline-formula><math display="inline"><semantics><mrow><mi>N</mi><mo>≤</mo><mn>4</mn><mi>k</mi><mo>,</mo></mrow></semantics></math></inline-formula> where <i>k</i> is a maximal integer or half-integer spin in the multiplet. The supertransformations that leave the Lagrangian invariant were found in explicit form and it was shown that their algebra is closed on-shell. |
| first_indexed | 2024-03-10T14:09:39Z |
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| id | doaj.art-53237bbb4f834d6f81ef386e0c2e4cc5 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T14:09:39Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-53237bbb4f834d6f81ef386e0c2e4cc52023-11-21T00:17:13ZengMDPI AGSymmetry2073-89942020-12-011212205210.3390/sym12122052Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS SpaceIoseph L. Buchbinder0Timofey V. Snegirev1Department of Theoretical Physics, Tomsk State Pedagogical University, 634061 Tomsk, RussiaDepartment of Theoretical Physics, Tomsk State Pedagogical University, 634061 Tomsk, RussiaWe derived the component Lagrangian for the free <i>N</i>-extended on-shell massless higher spin supermultiplets in four-dimensional anti-de Sitter space. The construction was based on the frame-like description of massless integer and half-integer higher spin fields. The massless supermultiplets were formulated for <inline-formula><math display="inline"><semantics><mrow><mi>N</mi><mo>≤</mo><mn>4</mn><mi>k</mi><mo>,</mo></mrow></semantics></math></inline-formula> where <i>k</i> is a maximal integer or half-integer spin in the multiplet. The supertransformations that leave the Lagrangian invariant were found in explicit form and it was shown that their algebra is closed on-shell.https://www.mdpi.com/2073-8994/12/12/2052extended supersymmetryhigher spin symmetrygauge invariance |
| spellingShingle | Ioseph L. Buchbinder Timofey V. Snegirev Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS Space Symmetry extended supersymmetry higher spin symmetry gauge invariance |
| title | Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS Space |
| title_full | Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS Space |
| title_fullStr | Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS Space |
| title_full_unstemmed | Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS Space |
| title_short | Lagrangian Formulation of Free Arbitrary <i>N</i>-Extended Massless Higher Spin Supermultiplets in 4D AdS Space |
| title_sort | lagrangian formulation of free arbitrary i n i extended massless higher spin supermultiplets in 4d ads space |
| topic | extended supersymmetry higher spin symmetry gauge invariance |
| url | https://www.mdpi.com/2073-8994/12/12/2052 |
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