The $\sigma_-$ Cohomology Analysis for Symmetric Higher-Spin Fields
Autor: | Bychkov, A. S., Ushakov, K. A., Vasiliev, M. A. |
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Rok vydání: | 2021 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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 $\sigma_-$ 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 $H^p(\sigma_-)$ is computed for any $p$ and interpretation of $H^p(\sigma_-)$ is given both for the original Fronsdal system and for the associated systems of higher form fields. Comment: 47 pages, no figures V2: clarifications, references and acknowledgement added, typos corrected; matches the published version; V3 48 pages, missed cohomology in section 8 fixed, acknowledgement added |
Databáze: | arXiv |
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