On the realization of infinite (continuous) spin field representations in AdS4 space
We study the symmetry properties of infinite spin fields in AdS4 space which are involved in the Lagrangian model proposed in arXiv:2403.14446 [hep-th] where the main role is played by operator constraints. It is shown that the conditions defining infinite spin states in AdS4 space are SO(2,3)-invar...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324007846 |
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| author | I.L. Buchbinder S.A. Fedoruk A.P. Isaev M.A. Podoinitsyn |
| author_facet | I.L. Buchbinder S.A. Fedoruk A.P. Isaev M.A. Podoinitsyn |
| author_sort | I.L. Buchbinder |
| collection | DOAJ |
| description | We study the symmetry properties of infinite spin fields in AdS4 space which are involved in the Lagrangian model proposed in arXiv:2403.14446 [hep-th] where the main role is played by operator constraints. It is shown that the conditions defining infinite spin states in AdS4 space are SO(2,3)-invariant. It is found that in the model under consideration the Casimir operators are completely fixed by the constraint operators and only one of the Casimir operators is independent. It is shown that in this model, infinite spin fields in AdS4 space are described by the most degenerate representations of the SO(2,3) group. |
| format | Article |
| id | doaj-art-915f794de23948338eef5ae071b75824 |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-915f794de23948338eef5ae071b758242025-02-10T04:33:41ZengElsevierPhysics Letters B0370-26932025-02-01861139226On the realization of infinite (continuous) spin field representations in AdS4 spaceI.L. Buchbinder0S.A. Fedoruk1A.P. Isaev2M.A. Podoinitsyn3Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia; Center of Theoretical Physics, Tomsk State Pedagogical University, 634061 Tomsk, Russia; National Research Tomsk State University, 634050 Tomsk, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia; Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia; Corresponding author.We study the symmetry properties of infinite spin fields in AdS4 space which are involved in the Lagrangian model proposed in arXiv:2403.14446 [hep-th] where the main role is played by operator constraints. It is shown that the conditions defining infinite spin states in AdS4 space are SO(2,3)-invariant. It is found that in the model under consideration the Casimir operators are completely fixed by the constraint operators and only one of the Casimir operators is independent. It is shown that in this model, infinite spin fields in AdS4 space are described by the most degenerate representations of the SO(2,3) group.http://www.sciencedirect.com/science/article/pii/S0370269324007846AdS4 spaceCasimir operatorsInfinite spin representations |
| spellingShingle | I.L. Buchbinder S.A. Fedoruk A.P. Isaev M.A. Podoinitsyn On the realization of infinite (continuous) spin field representations in AdS4 space Physics Letters B AdS4 space Casimir operators Infinite spin representations |
| title | On the realization of infinite (continuous) spin field representations in AdS4 space |
| title_full | On the realization of infinite (continuous) spin field representations in AdS4 space |
| title_fullStr | On the realization of infinite (continuous) spin field representations in AdS4 space |
| title_full_unstemmed | On the realization of infinite (continuous) spin field representations in AdS4 space |
| title_short | On the realization of infinite (continuous) spin field representations in AdS4 space |
| title_sort | on the realization of infinite continuous spin field representations in ads4 space |
| topic | AdS4 space Casimir operators Infinite spin representations |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324007846 |
| work_keys_str_mv | AT ilbuchbinder ontherealizationofinfinitecontinuousspinfieldrepresentationsinads4space AT safedoruk ontherealizationofinfinitecontinuousspinfieldrepresentationsinads4space AT apisaev ontherealizationofinfinitecontinuousspinfieldrepresentationsinads4space AT mapodoinitsyn ontherealizationofinfinitecontinuousspinfieldrepresentationsinads4space |