Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911700871020544 |
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| author | Bahadori, Mirenayatollah Eghbali, Ali Rezaei-Aghdam, Adel |
| author_facet | Bahadori, Mirenayatollah Eghbali, Ali Rezaei-Aghdam, Adel |
| contents | By solving algebraic relations for the conditions of Haantjes structure on a Lie algebra ${\G}$ and by using the corresponding automorphism group we proceed to classify all inequivalent algebraic Haantjes structures on ${\G}$. In this manner, we obtain 34 inequivalent algebraic Haantjes structures on the ${h_{4}}$ Lie algebra. We deform the chiral sigma model on a Lie group by using Haantjes structure on it. Then we try to obtain conditions on this structure such that the deformed sigma model remains to be integrable. Finally, using the ${h_{4}}$ Haantjes structures and solving this conditions three new integrable sigma models on the ${H_{4}}$ Lie group are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20851 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group Bahadori, Mirenayatollah Eghbali, Ali Rezaei-Aghdam, Adel High Energy Physics - Theory By solving algebraic relations for the conditions of Haantjes structure on a Lie algebra ${\G}$ and by using the corresponding automorphism group we proceed to classify all inequivalent algebraic Haantjes structures on ${\G}$. In this manner, we obtain 34 inequivalent algebraic Haantjes structures on the ${h_{4}}$ Lie algebra. We deform the chiral sigma model on a Lie group by using Haantjes structure on it. Then we try to obtain conditions on this structure such that the deformed sigma model remains to be integrable. Finally, using the ${h_{4}}$ Haantjes structures and solving this conditions three new integrable sigma models on the ${H_{4}}$ Lie group are obtained. |
| title | Integrable sigma models with Haantjes structure on ${H_{4}}$ Lie group |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.20851 |