Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space
Abstract In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N = 1 supermultiplets containing partially massless fields in AdS 4. Moreover, the simplest example of such supe...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)116 |
| _version_ | 1818148608952762368 |
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| author | I. L. Buchbinder M. V. Khabarov T. V. Snegirev Yu. M. Zinoviev |
| author_facet | I. L. Buchbinder M. V. Khabarov T. V. Snegirev Yu. M. Zinoviev |
| author_sort | I. L. Buchbinder |
| collection | DOAJ |
| description | Abstract In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N = 1 supermultiplets containing partially massless fields in AdS 4. Moreover, the simplest example of such supermultiplets which contains a partially massless spin-2 was explicitly constructed. In this paper we extend this result and develop explicit Lagrangian construction of general N = 1 supermultiplets containing partially massless fields with arbitrary superspin. We use the frame-like gauge invariant description of partially massless higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two partially massless bosonic and two partially massless fermionic fields we derive the supertransformations leaving the sum of their free Lagrangians invariant such that the AdS 4 superalgebra is closed on-shell. |
| first_indexed | 2024-12-11T12:53:51Z |
| format | Article |
| id | doaj.art-b419f6e9ec5548a4870fd92d804ab630 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T12:53:51Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b419f6e9ec5548a4870fd92d804ab6302022-12-22T01:06:38ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019811710.1007/JHEP08(2019)116Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 spaceI. L. Buchbinder0M. V. Khabarov1T. V. Snegirev2Yu. M. Zinoviev3Department of Theoretical Physics, Tomsk State Pedagogical UniversityMoscow Institute of Physics and Technology, State UniversityDepartment of Theoretical Physics, Tomsk State Pedagogical UniversityMoscow Institute of Physics and Technology, State UniversityAbstract In the recent paper [1] the classification of non-unitary representations of the three dimensional superconformal group has been constructed. From AdS/CFT they must correspond to N = 1 supermultiplets containing partially massless fields in AdS 4. Moreover, the simplest example of such supermultiplets which contains a partially massless spin-2 was explicitly constructed. In this paper we extend this result and develop explicit Lagrangian construction of general N = 1 supermultiplets containing partially massless fields with arbitrary superspin. We use the frame-like gauge invariant description of partially massless higher spin bosonic and fermionic fields. For the two types of the supermultiplets (with integer and half-integer superspins) each one containing two partially massless bosonic and two partially massless fermionic fields we derive the supertransformations leaving the sum of their free Lagrangians invariant such that the AdS 4 superalgebra is closed on-shell.http://link.springer.com/article/10.1007/JHEP08(2019)116Gauge SymmetryHigher Spin SymmetrySupersymmetric Gauge Theory |
| spellingShingle | I. L. Buchbinder M. V. Khabarov T. V. Snegirev Yu. M. Zinoviev Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space Journal of High Energy Physics Gauge Symmetry Higher Spin Symmetry Supersymmetric Gauge Theory |
| title | Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space |
| title_full | Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space |
| title_fullStr | Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space |
| title_full_unstemmed | Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space |
| title_short | Lagrangian description of the partially massless higher spin N = 1 supermultiplets in AdS 4 space |
| title_sort | lagrangian description of the partially massless higher spin n 1 supermultiplets in ads 4 space |
| topic | Gauge Symmetry Higher Spin Symmetry Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)116 |
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