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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.07635 |
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| _version_ | 1866911518958813184 |
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| author | Cheng, Peng Melnikov, Ilarion V. Minasian, Ruben |
| author_facet | Cheng, Peng Melnikov, Ilarion V. Minasian, Ruben |
| contents | We examine the physical significance of torsion co-cycles in the cohomology of a projective Calabi-Yau three-fold for the (2,2) superconformal field theory (SCFT) associated to the non-linear sigma model with such a manifold as a target space. There are two independent torsion subgroups in the cohomology. While one is associated to an orbifold construction of the SCFT, the other encodes the possibility of turning on a topologically non-trivial flat gerbe for the NS-NS B-field. Inclusion of these data enriches mirror symmetry by providing a refinement of the familiar structures and points to a generalization of the duality symmetry, where the topology of the flat gerbe enters on the same footing as the topology of the underlying manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07635 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The stringy geometry of integral cohomology in mirror symmetry Cheng, Peng Melnikov, Ilarion V. Minasian, Ruben High Energy Physics - Theory We examine the physical significance of torsion co-cycles in the cohomology of a projective Calabi-Yau three-fold for the (2,2) superconformal field theory (SCFT) associated to the non-linear sigma model with such a manifold as a target space. There are two independent torsion subgroups in the cohomology. While one is associated to an orbifold construction of the SCFT, the other encodes the possibility of turning on a topologically non-trivial flat gerbe for the NS-NS B-field. Inclusion of these data enriches mirror symmetry by providing a refinement of the familiar structures and points to a generalization of the duality symmetry, where the topology of the flat gerbe enters on the same footing as the topology of the underlying manifold. |
| title | The stringy geometry of integral cohomology in mirror symmetry |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2407.07635 |