Integrable sigma models with complex and generalized complex structures
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866908367676506112 |
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| author | Rezaei-Aghdam, A. Taghavi, A. |
| author_facet | Rezaei-Aghdam, A. Taghavi, A. |
| contents | Using the general method presented by Mohammedi \cite{NM} for the integrability of a sigma model on a manifold, we investigate the conditions for having an integrable deformation of the general sigma model on a manifold with a complex structure. On a Lie group, these conditions are satisfied by using the zeros of the Nijenhuis tensor. We then extend this formalism to a manifold, especially a Lie group, with a generalized complex structure. We demonstrate that, for the examples of integrable sigma models with generalized complex structures on the Lie groups $\mathbf{A_{4,8}}$ and $\mathbf{A_{4,10}}$, under special conditions, the perturbed terms of the actions are identical to the WZ terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_13413 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Integrable sigma models with complex and generalized complex structures Rezaei-Aghdam, A. Taghavi, A. High Energy Physics - Theory Using the general method presented by Mohammedi \cite{NM} for the integrability of a sigma model on a manifold, we investigate the conditions for having an integrable deformation of the general sigma model on a manifold with a complex structure. On a Lie group, these conditions are satisfied by using the zeros of the Nijenhuis tensor. We then extend this formalism to a manifold, especially a Lie group, with a generalized complex structure. We demonstrate that, for the examples of integrable sigma models with generalized complex structures on the Lie groups $\mathbf{A_{4,8}}$ and $\mathbf{A_{4,10}}$, under special conditions, the perturbed terms of the actions are identical to the WZ terms. |
| title | Integrable sigma models with complex and generalized complex structures |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.13413 |