Partially massless spin 2 and supersymmetry
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916670661984256 |
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| author | Zinoviev, Yu. M. |
| author_facet | Zinoviev, Yu. M. |
| contents | The very existence of partially massless spin 2 supermultiplet tell us that partially massless spin 2 has two natural superpartners: massless spin 3/2 and massive spin 3/2 with some special value of mass. As for any pair of fields connected by global supertransformations there are two natural questions: existence of the self-interaction and possibility to make supertransformations to be local by switching their interaction with massless spin 3/2 gravitino. At first, we consider a self-interaction for the partially massless spin 2 and massive spin 3/2 which may be considered as the first approximation to partially massless supergravity and provide a direct construction of the minimal (i.e. having no more than one derivative) vertex which resembles usual supergravity. Then we consider localization of global supersymmetry which connects partially massless spin 2 with its two possible superpartners -- massless spin 3/2 and massive with special mass value. For the first case we also managed to construct a minimal vertex having no more that one derivative. Again this vertex can be considered as a part of what can be called partially massless $N=2$ supergravity. As for the second case, the corresponding vertex does exist but it has higher derivative terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partially massless spin 2 and supersymmetry Zinoviev, Yu. M. High Energy Physics - Theory The very existence of partially massless spin 2 supermultiplet tell us that partially massless spin 2 has two natural superpartners: massless spin 3/2 and massive spin 3/2 with some special value of mass. As for any pair of fields connected by global supertransformations there are two natural questions: existence of the self-interaction and possibility to make supertransformations to be local by switching their interaction with massless spin 3/2 gravitino. At first, we consider a self-interaction for the partially massless spin 2 and massive spin 3/2 which may be considered as the first approximation to partially massless supergravity and provide a direct construction of the minimal (i.e. having no more than one derivative) vertex which resembles usual supergravity. Then we consider localization of global supersymmetry which connects partially massless spin 2 with its two possible superpartners -- massless spin 3/2 and massive with special mass value. For the first case we also managed to construct a minimal vertex having no more that one derivative. Again this vertex can be considered as a part of what can be called partially massless $N=2$ supergravity. As for the second case, the corresponding vertex does exist but it has higher derivative terms. |
| title | Partially massless spin 2 and supersymmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.04982 |