dc.contributor.author | Lukowski, Tomasz | |
dc.date.accessioned | 2023-09-27T08:45:02Z | |
dc.date.available | 2023-09-27T08:45:02Z | |
dc.date.issued | 2022-12-23 | |
dc.identifier.citation | Lukowski , T 2022 , ' On the Boundaries of the m=2 Amplituhedron ' , Annales de l’Institut Henri Poincaré D (AIHPD) , vol. 9 , no. 3 , pp. 525–541 . https://doi.org/10.4171/AIHPD/124 | |
dc.identifier.issn | 2308-5835 | |
dc.identifier.other | ArXiv: http://arxiv.org/abs/1908.00386v1 | |
dc.identifier.other | ORCID: /0000-0002-4159-3573/work/143285918 | |
dc.identifier.uri | http://hdl.handle.net/2299/26757 | |
dc.description | © 2022 Association Publications de l’Institut Henri Poincaré. Published by EMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY), https://creativecommons.org/licenses/by/4.0/ | |
dc.description.abstract | Amplituhedra A_{n,k}^{(m)} are geometric objects of great interest in modern mathematics and physics: for mathematicians they are combinatorially rich generalizations of polygons and polytopes, based on the notion of positivity; for physicists, the amplituhedron A^{(4)}_{n,k} encodes the scattering amplitudes of the planar N=4 super Yang-Mills theory. In this paper we study the structure of boundaries for the amplituhedron A_{n,k}^{(2)}. We classify all boundaries of all dimensions and provide their graphical enumeration. We find that the boundary poset for the amplituhedron is Eulerian and show that the Euler characteristic of the amplituhedron equals one. This provides an initial step towards proving that the amplituhedron for m=2 is homeomorphic to a closed ball. | en |
dc.format.extent | 17 | |
dc.format.extent | 458351 | |
dc.language.iso | eng | |
dc.relation.ispartof | Annales de l’Institut Henri Poincaré D (AIHPD) | |
dc.subject | hep-th | |
dc.subject | math.CO | |
dc.title | On the Boundaries of the m=2 Amplituhedron | en |
dc.contributor.institution | Department of Physics, Astronomy and Mathematics | |
dc.contributor.institution | School of Physics, Engineering & Computer Science | |
dc.contributor.institution | Mathematics and Theoretical Physics | |
dc.description.status | Peer reviewed | |
rioxxterms.versionofrecord | 10.4171/AIHPD/124 | |
rioxxterms.type | Journal Article/Review | |
herts.preservation.rarelyaccessed | true | |