Racah matrices for the symmetric representation of the SO(5) group
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915983061417984 |
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| author | Morozov, Andrey |
| author_facet | Morozov, Andrey |
| contents | Approaches to calculate SU(N) colored knot invariants (HOMFLY-PT polynomials) are well and widely developed. However, SO(N) case is mostly forgotten. With this paper we want to start the discusion of how to generalize Reshetikhin-Turaev approach to the SO(2n+1) case and which difficutlies arise in this discussion. We provide R and Racah matrices for the symmetric representation of the SO(5) group and show how to find the corresponding Kauffmann polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21688 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Racah matrices for the symmetric representation of the SO(5) group Morozov, Andrey High Energy Physics - Theory Geometric Topology Quantum Algebra Representation Theory Approaches to calculate SU(N) colored knot invariants (HOMFLY-PT polynomials) are well and widely developed. However, SO(N) case is mostly forgotten. With this paper we want to start the discusion of how to generalize Reshetikhin-Turaev approach to the SO(2n+1) case and which difficutlies arise in this discussion. We provide R and Racah matrices for the symmetric representation of the SO(5) group and show how to find the corresponding Kauffmann polynomials. |
| title | Racah matrices for the symmetric representation of the SO(5) group |
| topic | High Energy Physics - Theory Geometric Topology Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2603.21688 |