Adjoints and Canonical Forms of Tree Amplituhedra
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912106506354688 |
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| author | Ranestad, Kristian Sinn, Rainer Telen, Simon |
| author_facet | Ranestad, Kristian Sinn, Rainer Telen, Simon |
| contents | We consider semi-algebraic subsets of the Grassmannian of lines in three-space called tree amplituhedra. These arise in the study of scattering amplitudes from particle physics. Our main result states that tree amplituhedra in ${\rm Gr}(2,4)$ are positive geometries. The numerator of their canonical form plays the role of the adjoint in Wachspress geometry, and is uniquely determined by explicit interpolation conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06527 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Adjoints and Canonical Forms of Tree Amplituhedra Ranestad, Kristian Sinn, Rainer Telen, Simon Algebraic Geometry High Energy Physics - Theory We consider semi-algebraic subsets of the Grassmannian of lines in three-space called tree amplituhedra. These arise in the study of scattering amplitudes from particle physics. Our main result states that tree amplituhedra in ${\rm Gr}(2,4)$ are positive geometries. The numerator of their canonical form plays the role of the adjoint in Wachspress geometry, and is uniquely determined by explicit interpolation conditions. |
| title | Adjoints and Canonical Forms of Tree Amplituhedra |
| topic | Algebraic Geometry High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.06527 |