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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.12113 |
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| _version_ | 1866918384443064320 |
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| author | Alfonsi, Luigi Borsten, Leron Farahani, Mehran Jalali Kim, Hyungrok Wolf, Martin Young, Charles Alastair Stephen |
| author_facet | Alfonsi, Luigi Borsten, Leron Farahani, Mehran Jalali Kim, Hyungrok Wolf, Martin Young, Charles Alastair Stephen |
| contents | Homotopy algebraic methods have become increasingly influential in studying field theories. We consider semi-holomorphic Chern-Simons theory and its relation with the principal chiral model. In particular, we establish an explicit quasi-isomorphism between the cyclic $L_\infty$-algebras governing both theories which directly gives the Lax connection. This provides a concrete example for studying integrability of a two-dimensional system through the homotopy algebraic lens. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12113 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Integrability from Homotopy Algebras Alfonsi, Luigi Borsten, Leron Farahani, Mehran Jalali Kim, Hyungrok Wolf, Martin Young, Charles Alastair Stephen High Energy Physics - Theory Mathematical Physics Homotopy algebraic methods have become increasingly influential in studying field theories. We consider semi-holomorphic Chern-Simons theory and its relation with the principal chiral model. In particular, we establish an explicit quasi-isomorphism between the cyclic $L_\infty$-algebras governing both theories which directly gives the Lax connection. This provides a concrete example for studying integrability of a two-dimensional system through the homotopy algebraic lens. |
| title | Integrability from Homotopy Algebras |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2603.12113 |