One-loop Double Copy Relation from Twisted (Co)homology
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914962134269952 |
|---|---|
| author | Mazloumi, Pouria Stieberger, Stephan |
| author_facet | Mazloumi, Pouria Stieberger, Stephan |
| contents | We propose a geometric relation between closed and open string amplitudes at one-loop. After imposing a homological splitting on the world-sheet torus twisted intersection theory is used to establish a one-loop double copy relation. The latter expresses a closed string amplitude by a pair of open string amplitudes and twisted intersection numbers. These inner products on the vector space of allowed differential forms are related to the twisted homology and cohomology groups associated with the Riemann-Wirtinger integral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05208 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One-loop Double Copy Relation from Twisted (Co)homology Mazloumi, Pouria Stieberger, Stephan High Energy Physics - Theory Algebraic Geometry We propose a geometric relation between closed and open string amplitudes at one-loop. After imposing a homological splitting on the world-sheet torus twisted intersection theory is used to establish a one-loop double copy relation. The latter expresses a closed string amplitude by a pair of open string amplitudes and twisted intersection numbers. These inner products on the vector space of allowed differential forms are related to the twisted homology and cohomology groups associated with the Riemann-Wirtinger integral. |
| title | One-loop Double Copy Relation from Twisted (Co)homology |
| topic | High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2403.05208 |