A correspondence between the quantum K theory and quantum cohomology of Grassmannians
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910528267354112 |
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| author | Gu, Wei Guo, Jirui Mihalcea, Leonardo Wen, Yaoxiong Yan, Xiaohan |
| author_facet | Gu, Wei Guo, Jirui Mihalcea, Leonardo Wen, Yaoxiong Yan, Xiaohan |
| contents | We utilize physics arguments, and the nonabelian/abelian correspondence, to relate the Givental and Lee's quantum K theory ring of Grassmannians to a twisted variant of the quantum cohomology ring. Furthermore, the quantum K pairing is related to correlators arising from supersymmetric localization. We state some mathematical conjectures, which we illustrate in several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13739 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A correspondence between the quantum K theory and quantum cohomology of Grassmannians Gu, Wei Guo, Jirui Mihalcea, Leonardo Wen, Yaoxiong Yan, Xiaohan High Energy Physics - Theory We utilize physics arguments, and the nonabelian/abelian correspondence, to relate the Givental and Lee's quantum K theory ring of Grassmannians to a twisted variant of the quantum cohomology ring. Furthermore, the quantum K pairing is related to correlators arising from supersymmetric localization. We state some mathematical conjectures, which we illustrate in several examples. |
| title | A correspondence between the quantum K theory and quantum cohomology of Grassmannians |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.13739 |