The $σ_-$ Cohomology Analysis for Symmetric Higher-Spin Fields
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866913472409763840 |
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| author | Bychkov, A. S. Ushakov, K. A. Vasiliev, M. A. |
| author_facet | Bychkov, A. S. Ushakov, K. A. Vasiliev, M. A. |
| contents | In this paper, we present a complete proof of the so-called First On-Shell Theorem that determines dynamical content of the unfolded equations for free symmetric massless fields of arbitrary integer spin in any dimension and arbitrary integer or half-integer spin in four dimensions. This is achieved by calculation of the respective $σ_-$ cohomology both in the tensor language in Minkowski space of any dimension and in terms of spinors in $AdS_4$. In the $d$-dimensional case $H^p(σ_-)$ is computed for any $p$ and interpretation of $H^p(σ_-)$ is given both for the original Fronsdal system and for the associated systems of higher form fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_01736 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The $σ_-$ Cohomology Analysis for Symmetric Higher-Spin Fields Bychkov, A. S. Ushakov, K. A. Vasiliev, M. A. High Energy Physics - Theory In this paper, we present a complete proof of the so-called First On-Shell Theorem that determines dynamical content of the unfolded equations for free symmetric massless fields of arbitrary integer spin in any dimension and arbitrary integer or half-integer spin in four dimensions. This is achieved by calculation of the respective $σ_-$ cohomology both in the tensor language in Minkowski space of any dimension and in terms of spinors in $AdS_4$. In the $d$-dimensional case $H^p(σ_-)$ is computed for any $p$ and interpretation of $H^p(σ_-)$ is given both for the original Fronsdal system and for the associated systems of higher form fields. |
| title | The $σ_-$ Cohomology Analysis for Symmetric Higher-Spin Fields |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2107.01736 |