The $σ_-$ Cohomology Analysis for Coxeter HS $B_2$ model
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| Format: | Preprint |
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2026
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| _version_ | 1866918332441034752 |
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| author | Tarusov, A. A. Ushakov, K. A. |
| author_facet | Tarusov, A. A. Ushakov, K. A. |
| contents | The dynamical content of equations resulting from rank-two covariant derivatives in $B_2$ Coxeter theory in $AdS_4$ are analyzed in terms of $σ_-$-complexes. Primary fields and gauge-invariant differential operators on primary fields are classified for $(adj \otimes adj)$ one-form fields $ω$ and $(tw\otimes adj)$ zero-form fields $C$. It is shown that one-forms $ω$ in the $(adj \otimes adj)$ sector encode symmetric massless fields and partially massless fields of all spins and depth of masslessness. Gluing of the one-form module to the zero-form modules at the linear vertices is studied. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_10788 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The $σ_-$ Cohomology Analysis for Coxeter HS $B_2$ model Tarusov, A. A. Ushakov, K. A. High Energy Physics - Theory The dynamical content of equations resulting from rank-two covariant derivatives in $B_2$ Coxeter theory in $AdS_4$ are analyzed in terms of $σ_-$-complexes. Primary fields and gauge-invariant differential operators on primary fields are classified for $(adj \otimes adj)$ one-form fields $ω$ and $(tw\otimes adj)$ zero-form fields $C$. It is shown that one-forms $ω$ in the $(adj \otimes adj)$ sector encode symmetric massless fields and partially massless fields of all spins and depth of masslessness. Gluing of the one-form module to the zero-form modules at the linear vertices is studied. |
| title | The $σ_-$ Cohomology Analysis for Coxeter HS $B_2$ model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.10788 |