Abstract

We continue the study of open associahedra associated with bi-color scattering amplitudes initiated in ref. [1]. We focus on the facet geometries of the open associahedra, uncovering many new phenomena such as fiber-product geometries. We then provide novel recursion procedures for calculating the canonical form of open associahedra, generalizing recursion relations for bounded polytopes to unbounded polytopes.

Details

Title
Open associahedra and scattering forms
Author
Herderschee Aidan 1 ; Teng Fei 2 

 University of Michigan, Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, Department of Physics, Ann Arbor, USA (GRID:grid.214458.e) (ISNI:0000000086837370) 
 Uppsala University, Department of Physics and Astronomy, Uppsala, Sweden (GRID:grid.8993.b) (ISNI:0000 0004 1936 9457) 
Publication year
2020
Publication date
Dec 2020
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2473427078
Copyright
© The Author(s) 2020. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.