Super integrable hierarchies associated with color Lie algebra
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913166618787840 |
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| author | Yuan, Bo Bi, Yanhui Ruan, Yuqi Zhang, Tao |
| author_facet | Yuan, Bo Bi, Yanhui Ruan, Yuqi Zhang, Tao |
| contents | In this paper, by considering two non-isospectral problems with matrices chosen on the color Lie algebra $\mathfrak{sp}_{1}(6)$, we construct (1+1)-dimensional and (2+1)-dimensional super integrable systems on $\mathfrak{sp}_{1}(6)$. Moreover, based on the supertrace identity, their super Hamiltonian structures are also constructed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27897 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Super integrable hierarchies associated with color Lie algebra Yuan, Bo Bi, Yanhui Ruan, Yuqi Zhang, Tao Exactly Solvable and Integrable Systems Differential Geometry In this paper, by considering two non-isospectral problems with matrices chosen on the color Lie algebra $\mathfrak{sp}_{1}(6)$, we construct (1+1)-dimensional and (2+1)-dimensional super integrable systems on $\mathfrak{sp}_{1}(6)$. Moreover, based on the supertrace identity, their super Hamiltonian structures are also constructed. |
| title | Super integrable hierarchies associated with color Lie algebra |
| topic | Exactly Solvable and Integrable Systems Differential Geometry |
| url | https://arxiv.org/abs/2605.27897 |