Notes on Selection Rules of Canonical Differential Equations and Relative Cohomology
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916401054220288 |
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| author | Chen, Jiaqi Feng, Bo |
| author_facet | Chen, Jiaqi Feng, Bo |
| contents | We give an explanation of the $\mathrm{d}\log$-form of the coefficient matrix of canonical differential equations using the projection of ($n$+1)-$\mathrm{d}\log$ forms onto $n$-$\mathrm{d}\log$ forms. This projection is done using the leading-order formula for intersection numbers. This formula gives a simple way to compute the coefficient matrix. When combined with the relative twisted cohomology, redundancy in computation using the regulator method can be avoided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12663 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Notes on Selection Rules of Canonical Differential Equations and Relative Cohomology Chen, Jiaqi Feng, Bo High Energy Physics - Theory High Energy Physics - Phenomenology We give an explanation of the $\mathrm{d}\log$-form of the coefficient matrix of canonical differential equations using the projection of ($n$+1)-$\mathrm{d}\log$ forms onto $n$-$\mathrm{d}\log$ forms. This projection is done using the leading-order formula for intersection numbers. This formula gives a simple way to compute the coefficient matrix. When combined with the relative twisted cohomology, redundancy in computation using the regulator method can be avoided. |
| title | Notes on Selection Rules of Canonical Differential Equations and Relative Cohomology |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.12663 |