Show simple item record

dc.contributor.authorLukowski, Tomasz
dc.date.accessioned2023-09-27T08:45:02Z
dc.date.available2023-09-27T08:45:02Z
dc.date.issued2022-12-23
dc.identifier.citationLukowski , 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.issn2308-5835
dc.identifier.otherArXiv: http://arxiv.org/abs/1908.00386v1
dc.identifier.otherORCID: /0000-0002-4159-3573/work/143285918
dc.identifier.urihttp://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.abstractAmplituhedra 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.extent17
dc.format.extent458351
dc.language.isoeng
dc.relation.ispartofAnnales de l’Institut Henri Poincaré D (AIHPD)
dc.subjecthep-th
dc.subjectmath.CO
dc.titleOn the Boundaries of the m=2 Amplituhedronen
dc.contributor.institutionDepartment of Physics, Astronomy and Mathematics
dc.contributor.institutionSchool of Physics, Engineering & Computer Science
dc.contributor.institutionMathematics and Theoretical Physics
dc.description.statusPeer reviewed
rioxxterms.versionofrecord10.4171/AIHPD/124
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record