Point particle E-models
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914819774349312 |
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| author | Klimcik, Ctirad |
| author_facet | Klimcik, Ctirad |
| contents | We show that the same algebraic data that permit to construct the Lax pair and the $r$-matrix of an integrable non-linear $σ$-model in $1+1$ dimensions can be also used for the construction of Lax pairs and of $r$-matrices of several other non-trivial integrable theories in $1+0$ dimension. We call those new integrable theories the point particle ${\cal E}$-models, we describe their structure and give their physical interpretation. We work out in detail the point particle ${\cal E}$-models associated to the bi-Yang-Baxter deformation of the $SU(N)$ principal chiral model. In particular, for each complex flag manifold we thus obtain a two-parameter family of integrable models living on it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_09484 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Point particle E-models Klimcik, Ctirad Mathematical Physics We show that the same algebraic data that permit to construct the Lax pair and the $r$-matrix of an integrable non-linear $σ$-model in $1+1$ dimensions can be also used for the construction of Lax pairs and of $r$-matrices of several other non-trivial integrable theories in $1+0$ dimension. We call those new integrable theories the point particle ${\cal E}$-models, we describe their structure and give their physical interpretation. We work out in detail the point particle ${\cal E}$-models associated to the bi-Yang-Baxter deformation of the $SU(N)$ principal chiral model. In particular, for each complex flag manifold we thus obtain a two-parameter family of integrable models living on it. |
| title | Point particle E-models |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2305.09484 |