Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces
Abstract In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to both Calabi-Yau and Fano cases. In the Calabi-Yau case, significant cancellation of terms within our formalism...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)135 |
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| _version_ | 1841559932159131648 |
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| author | Masao Jinzenji Ken Kuwata |
| author_facet | Masao Jinzenji Ken Kuwata |
| author_sort | Masao Jinzenji |
| collection | DOAJ |
| description | Abstract In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to both Calabi-Yau and Fano cases. In the Calabi-Yau case, significant cancellation of terms within our formalism occurs, resulting in an alternative representation of the BCOV-Zinger formula for projective Calabi-Yau hypersurfaces. |
| format | Article |
| id | doaj-art-fe6789470cd14a1ab7b20f90773e5d98 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-fe6789470cd14a1ab7b20f90773e5d982025-01-05T12:06:34ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213110.1007/JHEP12(2024)135Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfacesMasao Jinzenji0Ken Kuwata1Department of Mathematics, Okayama UniversityDepartment of General Education, National Institute of Technology, Kagawa CollegeAbstract In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to both Calabi-Yau and Fano cases. In the Calabi-Yau case, significant cancellation of terms within our formalism occurs, resulting in an alternative representation of the BCOV-Zinger formula for projective Calabi-Yau hypersurfaces.https://doi.org/10.1007/JHEP12(2024)135Nonperturbative EffectsString DualityTopological Field TheoriesTopological Strings |
| spellingShingle | Masao Jinzenji Ken Kuwata Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces Journal of High Energy Physics Nonperturbative Effects String Duality Topological Field Theories Topological Strings |
| title | Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces |
| title_full | Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces |
| title_fullStr | Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces |
| title_full_unstemmed | Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces |
| title_short | Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces |
| title_sort | elliptic virtual structure constants and generalizations of bcov zinger formula to projective fano hypersurfaces |
| topic | Nonperturbative Effects String Duality Topological Field Theories Topological Strings |
| url | https://doi.org/10.1007/JHEP12(2024)135 |
| work_keys_str_mv | AT masaojinzenji ellipticvirtualstructureconstantsandgeneralizationsofbcovzingerformulatoprojectivefanohypersurfaces AT kenkuwata ellipticvirtualstructureconstantsandgeneralizationsofbcovzingerformulatoprojectivefanohypersurfaces |