A heterotic integrable deformation of the principal chiral model
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917773505986560 |
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| author | Osten, David |
| author_facet | Osten, David |
| contents | A novel classically integrable model is proposed. It is a deformation of the two-dimensional principal chiral model, embedded into a heterotic $σ$-model, by a particular heterotic gauge field. This is inspired by the bosonic part of the heterotic $σ$-model and its recent Hamiltonian formulation in terms of O$(d,d+n)$-generalised geometry by Hatsuda, Mori, Sasaki and Yata. Classical integrability is shown by construction of a Lax pair and a classical $\mathcal{R}$-matrix. Latter is almost of the canonical form with twist function and solves the classical Yang-Baxter equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10149 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A heterotic integrable deformation of the principal chiral model Osten, David High Energy Physics - Theory Mathematical Physics A novel classically integrable model is proposed. It is a deformation of the two-dimensional principal chiral model, embedded into a heterotic $σ$-model, by a particular heterotic gauge field. This is inspired by the bosonic part of the heterotic $σ$-model and its recent Hamiltonian formulation in terms of O$(d,d+n)$-generalised geometry by Hatsuda, Mori, Sasaki and Yata. Classical integrability is shown by construction of a Lax pair and a classical $\mathcal{R}$-matrix. Latter is almost of the canonical form with twist function and solves the classical Yang-Baxter equation. |
| title | A heterotic integrable deformation of the principal chiral model |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2312.10149 |