Families of Hitchin Systems in Type-D
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909879819567104 |
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| author | Balasubramanian, Aswin Distler, Jacques Donagi, Ron Perez-Pardavila, Carlos |
| author_facet | Balasubramanian, Aswin Distler, Jacques Donagi, Ron Perez-Pardavila, Carlos |
| contents | The Coulomb branch geometry of a 4d $\mathcal{N}=2$ SCFT is encoded in the data of a complex integrable system. In class-S, this is the Hitchin System (of ADE type) on the punctured curves $C$ on which we compactified from 6d to 4d. As we vary the complex structure of $C$, these fit together to form a (nontrivial!) bundle of Hitchin systems over the moduli space of complex structures of $C$ (the ``conformal manifold'' of the family of SCFTs). We carry out that construction for type-D. Compared to the type-A case, the construction is much more complicated because of local constraints at the punctures. Those local constraints were studied in [1]. Here, we work out their implications for the global bundle of spectral (Seiberg-Witten) curves. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_27199 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Families of Hitchin Systems in Type-D Balasubramanian, Aswin Distler, Jacques Donagi, Ron Perez-Pardavila, Carlos High Energy Physics - Theory Algebraic Geometry The Coulomb branch geometry of a 4d $\mathcal{N}=2$ SCFT is encoded in the data of a complex integrable system. In class-S, this is the Hitchin System (of ADE type) on the punctured curves $C$ on which we compactified from 6d to 4d. As we vary the complex structure of $C$, these fit together to form a (nontrivial!) bundle of Hitchin systems over the moduli space of complex structures of $C$ (the ``conformal manifold'' of the family of SCFTs). We carry out that construction for type-D. Compared to the type-A case, the construction is much more complicated because of local constraints at the punctures. Those local constraints were studied in [1]. Here, we work out their implications for the global bundle of spectral (Seiberg-Witten) curves. |
| title | Families of Hitchin Systems in Type-D |
| topic | High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2510.27199 |