Amplituhedra and origami
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917801358262272 |
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| author | Galashin, Pavel |
| author_facet | Galashin, Pavel |
| contents | We establish a precise correspondence between points of momentum amplituhedra and origami crease patterns. As an application, we prove that the BCFW cells triangulate the momentum amplituhedron when all Mandelstam variables are nonnegative. As another application, we show that every weighted planar bipartite graph $Γ$ admits a t-embedding, i.e., an embedding of the planar dual of $Γ$ such that the sum of angles of white (equivalently, black) faces around each vertex is equal to $π$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09574 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Amplituhedra and origami Galashin, Pavel High Energy Physics - Theory Mathematical Physics Algebraic Geometry Combinatorics 81T13, 82B20 We establish a precise correspondence between points of momentum amplituhedra and origami crease patterns. As an application, we prove that the BCFW cells triangulate the momentum amplituhedron when all Mandelstam variables are nonnegative. As another application, we show that every weighted planar bipartite graph $Γ$ admits a t-embedding, i.e., an embedding of the planar dual of $Γ$ such that the sum of angles of white (equivalently, black) faces around each vertex is equal to $π$. |
| title | Amplituhedra and origami |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry Combinatorics 81T13, 82B20 |
| url | https://arxiv.org/abs/2410.09574 |