Central charges in local mirror symmetry via hypergeometric duality
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914009707446272 |
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| author | Han, Zengrui |
| author_facet | Han, Zengrui |
| contents | We apply the better-behaved GKZ hypergeometric systems to study toric Calabi-Yau Deligne-Mumford stacks and their Hori-Vafa mirrors given by affine hypersurfaces in algebraic tori. We show that the integral structures of A-branes and B-branes coincide. This confirms a local version of a conjecture of Hosono and can be seen as a generalization of the Gamma conjecture for local mirror symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Central charges in local mirror symmetry via hypergeometric duality Han, Zengrui Algebraic Geometry 14M25, 14J32, 33C99 We apply the better-behaved GKZ hypergeometric systems to study toric Calabi-Yau Deligne-Mumford stacks and their Hori-Vafa mirrors given by affine hypersurfaces in algebraic tori. We show that the integral structures of A-branes and B-branes coincide. This confirms a local version of a conjecture of Hosono and can be seen as a generalization of the Gamma conjecture for local mirror symmetry. |
| title | Central charges in local mirror symmetry via hypergeometric duality |
| topic | Algebraic Geometry 14M25, 14J32, 33C99 |
| url | https://arxiv.org/abs/2404.16258 |