Mirror Symmetry of the Affine Toda Systems
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866913149524901888 |
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| author | Jin, Xin Yun, Zhiwei |
| author_facet | Jin, Xin Yun, Zhiwei |
| contents | For a complex reductive group $G$, we prove a homological mirror symmetry between the wrapped Fukaya category of the affine Toda system for $G$ and coherent sheaves on the regular centralizer group scheme for the Langlands dual group $G^\vee$. This can be interpreted as a geometric Langlands equivalence for $\mathbb{P}^1$ with mildest wild ramification at $0$ and $\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_21159 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mirror Symmetry of the Affine Toda Systems Jin, Xin Yun, Zhiwei Symplectic Geometry Algebraic Geometry Representation Theory For a complex reductive group $G$, we prove a homological mirror symmetry between the wrapped Fukaya category of the affine Toda system for $G$ and coherent sheaves on the regular centralizer group scheme for the Langlands dual group $G^\vee$. This can be interpreted as a geometric Langlands equivalence for $\mathbb{P}^1$ with mildest wild ramification at $0$ and $\infty$. |
| title | Mirror Symmetry of the Affine Toda Systems |
| topic | Symplectic Geometry Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2605.21159 |