Integral Regulators on Mirror Curves with Mass Parameter
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913450126475264 |
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| author | Babu, Soumya Sinha |
| author_facet | Babu, Soumya Sinha |
| contents | In 2015, Codesido-Grassi-Marino laid the foundation of a connection between local CY 3-folds and the spectra of operators attached to their mirror curves in the context of Topological String Theory. In a 2024 paper with C. Doran and M. Kerr, the author previously deduced two consequences of this conjecture; one relating zeroes of higher normal function to the spectra of operators of genus one curves, the other connecting integral regulators of $K_2$-classes on mirror curves to dilogarithm values at algebraic arguments. We now show that the latter continues to hold in the presence of a mass parameter, thus expanding the range of the conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18356 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Integral Regulators on Mirror Curves with Mass Parameter Babu, Soumya Sinha High Energy Physics - Theory Mathematical Physics K-Theory and Homology Number Theory In 2015, Codesido-Grassi-Marino laid the foundation of a connection between local CY 3-folds and the spectra of operators attached to their mirror curves in the context of Topological String Theory. In a 2024 paper with C. Doran and M. Kerr, the author previously deduced two consequences of this conjecture; one relating zeroes of higher normal function to the spectra of operators of genus one curves, the other connecting integral regulators of $K_2$-classes on mirror curves to dilogarithm values at algebraic arguments. We now show that the latter continues to hold in the presence of a mass parameter, thus expanding the range of the conjecture. |
| title | Integral Regulators on Mirror Curves with Mass Parameter |
| topic | High Energy Physics - Theory Mathematical Physics K-Theory and Homology Number Theory |
| url | https://arxiv.org/abs/2407.18356 |