cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916664364236800 |
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| author | Berglund, Per Butbaia, Giorgi Hübsch, Tristan Jejjala, Vishnu Mishra, Challenger Peña, Damián Mayorga Tan, Justin |
| author_facet | Berglund, Per Butbaia, Giorgi Hübsch, Tristan Jejjala, Vishnu Mishra, Challenger Peña, Damián Mayorga Tan, Justin |
| contents | We introduce \texttt{cymyc}, a high-performance Python library for numerical investigation of the geometry of a large class of string compactification manifolds and their associated moduli spaces. We develop a well-defined geometric ansatz to numerically model tensor fields of arbitrary degree on a large class of Calabi-Yau manifolds. \texttt{cymyc} includes a machine learning component which incorporates this ansatz to model tensor fields of interest on these spaces by finding an approximate solution to the system of partial differential equations they should satisfy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19728 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature Berglund, Per Butbaia, Giorgi Hübsch, Tristan Jejjala, Vishnu Mishra, Challenger Peña, Damián Mayorga Tan, Justin High Energy Physics - Theory Machine Learning High Energy Physics - Phenomenology We introduce \texttt{cymyc}, a high-performance Python library for numerical investigation of the geometry of a large class of string compactification manifolds and their associated moduli spaces. We develop a well-defined geometric ansatz to numerically model tensor fields of arbitrary degree on a large class of Calabi-Yau manifolds. \texttt{cymyc} includes a machine learning component which incorporates this ansatz to model tensor fields of interest on these spaces by finding an approximate solution to the system of partial differential equations they should satisfy. |
| title | cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature |
| topic | High Energy Physics - Theory Machine Learning High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.19728 |