The homological algebra of 2d integrable field theories
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914285298384896 |
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| author | Benini, Marco Schenkel, Alexander Vicedo, Benoit |
| author_facet | Benini, Marco Schenkel, Alexander Vicedo, Benoit |
| contents | This article provides a detailed and rigorous study of $4d$ semi-holomorphic Chern-Simons theories and their associated $2d$ integrable field theories from the homological perspective of $L_\infty$-algebras. Through the use of homotopy transfer techniques, it is shown precisely how both the integrable field theory and its corresponding Lax connection emerge from the $4d$ theory, which results in a novel perspective on Lax connections in terms of $L_\infty$-morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19993 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The homological algebra of 2d integrable field theories Benini, Marco Schenkel, Alexander Vicedo, Benoit High Energy Physics - Theory Mathematical Physics 70Sxx, 81Txx, 55Uxx This article provides a detailed and rigorous study of $4d$ semi-holomorphic Chern-Simons theories and their associated $2d$ integrable field theories from the homological perspective of $L_\infty$-algebras. Through the use of homotopy transfer techniques, it is shown precisely how both the integrable field theory and its corresponding Lax connection emerge from the $4d$ theory, which results in a novel perspective on Lax connections in terms of $L_\infty$-morphisms. |
| title | The homological algebra of 2d integrable field theories |
| topic | High Energy Physics - Theory Mathematical Physics 70Sxx, 81Txx, 55Uxx |
| url | https://arxiv.org/abs/2601.19993 |