On cosmological polytopes, their canonical forms and their duals
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915833116098560 |
|---|---|
| author | Birkemeyer, Anna Donzelmann, Torben Fink, Mieke Juhnke, Martina |
| author_facet | Birkemeyer, Anna Donzelmann, Torben Fink, Mieke Juhnke, Martina |
| contents | We compute the canonical form of the cosmological polytope for any graph in terms of the dual of the shifted cosmological polytope in two different ways. On the way, we provide an explicit coordinate description of the dual of the cosmological polytope. Moreover, we construct two triangulations of the dual cosmological polytope in terms of maximal and almost maximal tubings of the underlying graph. Though the existence of the first triangulation was already suggested by Arkani-Hamed, Benincasa and Postnikov, the second is completely new and, in particular, gives rise to a new expression of the canonical form of the cosmological polytope. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03894 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On cosmological polytopes, their canonical forms and their duals Birkemeyer, Anna Donzelmann, Torben Fink, Mieke Juhnke, Martina Combinatorics Mathematical Physics 52B20, 52B05, 00A79 We compute the canonical form of the cosmological polytope for any graph in terms of the dual of the shifted cosmological polytope in two different ways. On the way, we provide an explicit coordinate description of the dual of the cosmological polytope. Moreover, we construct two triangulations of the dual cosmological polytope in terms of maximal and almost maximal tubings of the underlying graph. Though the existence of the first triangulation was already suggested by Arkani-Hamed, Benincasa and Postnikov, the second is completely new and, in particular, gives rise to a new expression of the canonical form of the cosmological polytope. |
| title | On cosmological polytopes, their canonical forms and their duals |
| topic | Combinatorics Mathematical Physics 52B20, 52B05, 00A79 |
| url | https://arxiv.org/abs/2603.03894 |