| dc.contributor.author | Lukowski, Tomasz | |
| dc.contributor.author | Stalknecht, Jonah | |
| dc.date.accessioned | 2023-10-09T10:00:03Z | |
| dc.date.available | 2023-10-09T10:00:03Z | |
| dc.date.issued | 2022-04-20 | |
| dc.identifier.citation | Lukowski , T & Stalknecht , J 2022 , ' The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms ' , Journal of Physics A: Mathematical and Theoretical , vol. 55 , no. 20 , 205202 , pp. 1-20 . https://doi.org/10.1088/1751-8121/ac62ba | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.other | ArXiv: http://arxiv.org/abs/2107.07520v1 | |
| dc.identifier.other | ORCID: /0000-0002-4159-3573/work/144393531 | |
| dc.identifier.uri | http://hdl.handle.net/2299/26869 | |
| dc.description | © 2022 The Author(s). Published by IOP Publishing Ltd. This is an open access article distributed under the Creative Commons Attribution License, to view a copy of the license, see: https://creativecommons.org/licenses/by/4.0/ | |
| dc.description.abstract | In this paper we provide a formula for the canonical differential form of the hypersimplex Δ k,n for all n and k. We also study the generalization of the momentum amplituhedron Mn,k to m = 2, which has been conjectured to share many properties with the hypersimplex, and we provide counterexamples for these conjectures. Nevertheless, we find interesting momentum amplituhedron-like logarithmic differential forms in the m = 2 version of the spinor helicity space, that have the same singularity structure as the hypersimplex canonical forms. | en |
| dc.format.extent | 20 | |
| dc.format.extent | 905811 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical | |
| dc.subject | hep-th | |
| dc.subject | math.AG | |
| dc.subject | hypersimplex | |
| dc.subject | momentum amplituhedron | |
| dc.subject | scattering amplitudes | |
| dc.subject | positive geometries | |
| dc.subject | General Physics and Astronomy | |
| dc.subject | Statistical and Nonlinear Physics | |
| dc.subject | Statistics and Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | Modelling and Simulation | |
| dc.title | The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms | en |
| dc.contributor.institution | Mathematics and Theoretical Physics | |
| dc.contributor.institution | School of Physics, Engineering & Computer Science | |
| dc.contributor.institution | Department of Physics, Astronomy and Mathematics | |
| dc.description.status | Peer reviewed | |
| dc.identifier.url | http://www.scopus.com/inward/record.url?scp=85129587884&partnerID=8YFLogxK | |
| rioxxterms.versionofrecord | 10.1088/1751-8121/ac62ba | |
| rioxxterms.type | Journal Article/Review | |
| herts.preservation.rarelyaccessed | true | |
