Symplectic cuts and open/closed strings II
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909570816802816 |
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| author | Cassia, Luca Longhi, Pietro Zabzine, Maxim |
| author_facet | Cassia, Luca Longhi, Pietro Zabzine, Maxim |
| contents | In arXiv:2306.07329 we established a connection between symplectic cuts of Calabi-Yau threefolds and open topological strings, and used this to introduce an equivariant deformation of the disk potential of toric branes. In this paper we establish a connection to higher-dimensional Calabi-Yau geometries by showing that the equivariant disk potential arises as an equivariant period of certain Calabi-Yau fourfolds and fivefolds, which encode moduli spaces of one and two symplectic cuts (the maximal case) by a construction of Braverman arXiv:alg-geom/9712024. Extended Picard-Fuchs equations for toric branes, capturing dependence on both open and closed string moduli, are derived from a suitable limit of the equivariant quantum cohomology rings of the higher Calabi-Yau geometries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_10960 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symplectic cuts and open/closed strings II Cassia, Luca Longhi, Pietro Zabzine, Maxim High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry In arXiv:2306.07329 we established a connection between symplectic cuts of Calabi-Yau threefolds and open topological strings, and used this to introduce an equivariant deformation of the disk potential of toric branes. In this paper we establish a connection to higher-dimensional Calabi-Yau geometries by showing that the equivariant disk potential arises as an equivariant period of certain Calabi-Yau fourfolds and fivefolds, which encode moduli spaces of one and two symplectic cuts (the maximal case) by a construction of Braverman arXiv:alg-geom/9712024. Extended Picard-Fuchs equations for toric branes, capturing dependence on both open and closed string moduli, are derived from a suitable limit of the equivariant quantum cohomology rings of the higher Calabi-Yau geometries. |
| title | Symplectic cuts and open/closed strings II |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2410.10960 |