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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.09562 |
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| _version_ | 1866911103590596608 |
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| author | Chen, Eric Y. Hsiao, Enya Yang, Mengxue |
| author_facet | Chen, Eric Y. Hsiao, Enya Yang, Mengxue |
| contents | Interpreting certain holomorphic Lagrangians that arise from the relative Langlands program, we construct moduli stacks underlying the generalized Slodowy categories of Collier--Sanders and $G^\mathbf{R}$-Higgs bundles over a Riemann surface. Furthermore, we extend the Cayley correspondence of Bradlow--Collier--García-Prada--Gothen--Oliveira to a morphism of Lagrangians over the Hitchin moduli stack, and initiate the study of its hyperholomorphic mirror partner under $S$-duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | (BAA)-branes from higher Teichmüller theory Chen, Eric Y. Hsiao, Enya Yang, Mengxue Algebraic Geometry Mathematical Physics Interpreting certain holomorphic Lagrangians that arise from the relative Langlands program, we construct moduli stacks underlying the generalized Slodowy categories of Collier--Sanders and $G^\mathbf{R}$-Higgs bundles over a Riemann surface. Furthermore, we extend the Cayley correspondence of Bradlow--Collier--García-Prada--Gothen--Oliveira to a morphism of Lagrangians over the Hitchin moduli stack, and initiate the study of its hyperholomorphic mirror partner under $S$-duality. |
| title | (BAA)-branes from higher Teichmüller theory |
| topic | Algebraic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2508.09562 |