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dc.contributor.authorLukowski, Tomasz
dc.contributor.authorMoerman, Robert
dc.date.accessioned2020-10-17T00:10:43Z
dc.date.available2020-10-17T00:10:43Z
dc.date.issued2021-02-01
dc.identifier.citationLukowski , T & Moerman , R 2021 , ' Boundaries of the Amplituhedron with amplituhedronBoundaries ' , Computer Physics Communications , vol. 259 , 107653 . https://doi.org/10.1016/j.cpc.2020.107653
dc.identifier.issn0010-4655
dc.identifier.otherPURE: 22679029
dc.identifier.otherPURE UUID: dd92ad1a-8e2c-4734-b4dc-0c88ac276f20
dc.identifier.otherArXiv: http://arxiv.org/abs/2002.07146v1
dc.identifier.otherORCID: /0000-0002-4159-3573/work/82133284
dc.identifier.otherScopus: 85092234635
dc.identifier.urihttp://hdl.handle.net/2299/23281
dc.description© 2020 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/.
dc.description.abstractPositive geometries provide a modern approach for computing scattering amplitudes in a variety of physical models. In order to facilitate the exploration of these new geometric methods, we introduce a MATHEMATICA package called “amplituhedronBoundaries” for calculating the boundary structures of three positive geometries: the amplituhedron, the momentum amplituhedron and the hypersimplex. The first two geometries are relevant for scattering amplitudes in planar N=4 supersymmetric Yang–Mills theory, while the last one is a well-studied polytope appearing in many contexts in mathematics, and is closely related to the m=2 momentum amplituhedron. The package includes an array of useful tools for the study of these positive geometries, including their boundary stratifications, drawing their boundary posets, and additional tools for manipulating combinatorial structures useful for positive Grassmannians. Program summary: Program title: amplituhedronBoundaries CPC Library link to program files: http://dx.doi.org/10.17632/fhcnzn3z96.1 Developer's repository link: https://github.com/mrmrob003/amplituhedronBoundaries Licensing provisions: GNU General Public License 3 Programming language: Wolfram MATHEMATICA 11.0 Nature of problem: The package facilitates the determination and study of the boundary stratifications for three positive geometries: the amplituhedron, the momentum amplituhedron, and the hypersimplex. The first two geometries are relevant for scattering amplitudes in planar N=4 sYM, while the last one is a well-studied polytope appearing in many important contexts in mathematics. Solution method: The package includes an array of useful tools for exploring the three aforementioned positive geometries, including their boundary stratifications, drawing their boundary posets, and additional tools for manipulating combinatorial structures useful for positive Grassmannians. Restrictions: Wolfram MATHEMATICA 11.0 or aboveen
dc.format.extent21
dc.language.isoeng
dc.relation.ispartofComputer Physics Communications
dc.subjectAmplituhedron
dc.subjectMomentum amplituhedron
dc.subjectPositive geometries
dc.subjectScattering amplitudes
dc.subjectSupersymmetric gauge theories
dc.subjectHardware and Architecture
dc.subjectPhysics and Astronomy(all)
dc.titleBoundaries of the Amplituhedron with amplituhedronBoundariesen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.description.statusPeer reviewed
dc.date.embargoedUntil2021-10-07
dc.identifier.urlhttp://www.scopus.com/inward/record.url?scp=85092234635&partnerID=8YFLogxK
rioxxterms.versionAM
rioxxterms.versionofrecordhttps://doi.org/10.1016/j.cpc.2020.107653
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue


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