Chern-Simons Theories and Integrability
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908555777409024 |
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| author | Liniado, Joaquin |
| author_facet | Liniado, Joaquin |
| contents | This thesis explores the correspondence between Chern-Simons theory and integrable field theories across different dimensions. It brings together all of my work in this area, including several distinct realizations of this correspondence. The thesis generalizes existing results on four-dimensional Chern-Simons theory and holomorphic Chern-Simons theory on twistor space. Additionally, it presents the discovery of a novel correspondence between five-dimensional holomorphic 2-Chern-Simons theory and integrable field theories in three dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19188 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chern-Simons Theories and Integrability Liniado, Joaquin High Energy Physics - Theory Mathematical Physics 81T13, 37K10 (Primary) 81T45, 32L25, 18M15, 53C28 (Secondary) This thesis explores the correspondence between Chern-Simons theory and integrable field theories across different dimensions. It brings together all of my work in this area, including several distinct realizations of this correspondence. The thesis generalizes existing results on four-dimensional Chern-Simons theory and holomorphic Chern-Simons theory on twistor space. Additionally, it presents the discovery of a novel correspondence between five-dimensional holomorphic 2-Chern-Simons theory and integrable field theories in three dimensions. |
| title | Chern-Simons Theories and Integrability |
| topic | High Energy Physics - Theory Mathematical Physics 81T13, 37K10 (Primary) 81T45, 32L25, 18M15, 53C28 (Secondary) |
| url | https://arxiv.org/abs/2509.19188 |