Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds
<p>We analyze freely-acting discrete symmetries of Calabi–Yau three-folds defined as hypersurfaces in ambient toric four-folds. An algorithm that allows the systematic classification of such symmetries which are linearly realised on the toric ambient space is devised. This algorithm is applie...
| المؤلفون الرئيسيون: | , , |
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| التنسيق: | Journal article |
| منشور في: |
Springer Verlag
2017
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| _version_ | 1826303853316800512 |
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| author | Braun, A Lukas, A Sun, C |
| author_facet | Braun, A Lukas, A Sun, C |
| author_sort | Braun, A |
| collection | OXFORD |
| description | <p>We analyze freely-acting discrete symmetries of Calabi–Yau three-folds defined as hypersurfaces in ambient toric four-folds. An algorithm that allows the systematic classification of such symmetries which are linearly realised on the toric ambient space is devised. This algorithm is applied to all Calabi–Yau manifolds with <i>h</i><sup>1,1</sup>(<i>X</i>)≤3 obtained by triangulation from the Kreuzer–Skarke list, a list of some 350 manifolds. All previously known freely-acting symmetries on these manifolds are correctly reproduced and we find five manifolds with freely-acting symmetries. These include a single new example, a manifold with a ℤ<sub>2</sub>×ℤ<sub>2</sub> symmetry where only one of the ℤ<sub>2</sub> factors was previously known. In addition, a new freely-acting ℤ<sub>2</sub> symmetry is constructed for a manifold with <i>h</i><sup>1,1</sup>(<i>X</i>)=6. While our results show that there are more freely-acting symmetries within the Kreuzer–Skarke set than previously known, it appears that such symmetries are relatively rare.</p> |
| first_indexed | 2024-03-07T06:09:00Z |
| format | Journal article |
| id | oxford-uuid:eed2cfc2-2d51-4398-a301-4679a953d70a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:09:00Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:eed2cfc2-2d51-4398-a301-4679a953d70a2022-03-27T11:35:44ZDiscrete symmetries of Calabi–Yau hypersurfaces in toric four-foldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:eed2cfc2-2d51-4398-a301-4679a953d70aSymplectic Elements at OxfordSpringer Verlag2017Braun, ALukas, ASun, C <p>We analyze freely-acting discrete symmetries of Calabi–Yau three-folds defined as hypersurfaces in ambient toric four-folds. An algorithm that allows the systematic classification of such symmetries which are linearly realised on the toric ambient space is devised. This algorithm is applied to all Calabi–Yau manifolds with <i>h</i><sup>1,1</sup>(<i>X</i>)≤3 obtained by triangulation from the Kreuzer–Skarke list, a list of some 350 manifolds. All previously known freely-acting symmetries on these manifolds are correctly reproduced and we find five manifolds with freely-acting symmetries. These include a single new example, a manifold with a ℤ<sub>2</sub>×ℤ<sub>2</sub> symmetry where only one of the ℤ<sub>2</sub> factors was previously known. In addition, a new freely-acting ℤ<sub>2</sub> symmetry is constructed for a manifold with <i>h</i><sup>1,1</sup>(<i>X</i>)=6. While our results show that there are more freely-acting symmetries within the Kreuzer–Skarke set than previously known, it appears that such symmetries are relatively rare.</p> |
| spellingShingle | Braun, A Lukas, A Sun, C Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds |
| title | Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds |
| title_full | Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds |
| title_fullStr | Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds |
| title_full_unstemmed | Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds |
| title_short | Discrete symmetries of Calabi–Yau hypersurfaces in toric four-folds |
| title_sort | discrete symmetries of calabi yau hypersurfaces in toric four folds |
| work_keys_str_mv | AT brauna discretesymmetriesofcalabiyauhypersurfacesintoricfourfolds AT lukasa discretesymmetriesofcalabiyauhypersurfacesintoricfourfolds AT sunc discretesymmetriesofcalabiyauhypersurfacesintoricfourfolds |