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dc.contributor.authorFerro, Livia
dc.contributor.authorLukowski, Tomasz
dc.contributor.authorParisi, Matteo
dc.date.accessioned2019-01-08T01:14:45Z
dc.date.available2019-01-08T01:14:45Z
dc.date.issued2018-12-28
dc.identifier.citationFerro , L , Lukowski , T & Parisi , M 2018 , ' Amplituhedron meets Jeffrey-Kirwan Residue ' , Journal of Physics A: Mathematical and Theoretical . https://doi.org/10.1088/1751-8121/aaf3c3
dc.identifier.issn1751-8113
dc.identifier.otherPURE: 16081580
dc.identifier.otherPURE UUID: 59a55c79-fd13-4e42-87e8-8bd19844ffa0
dc.identifier.otherORCID: /0000-0002-4159-3573/work/52604714
dc.identifier.otherScopus: 85061256341
dc.identifier.urihttp://hdl.handle.net/2299/20918
dc.description.abstractThe tree amplituhedra A^(m)_n,k are mathematical objects generalising the notion of polytopes into the Grassmannian. Proposed for m=4 as a geometric construction encoding tree-level scattering amplitudes in planar N=4 super Yang-Mills theory, they are mathematically interesting for any m. In this paper we strengthen the relation between scattering amplitudes and geometry by linking the amplituhedron to the Jeffrey-Kirwan residue, a powerful concept in symplectic and algebraic geometry. We focus on a particular class of amplituhedra in any dimension, namely cyclic polytopes, and their even-dimensional conjugates. We show how the Jeffrey-Kirwan residue prescription allows to extract the correct amplituhedron volume functions in all these cases. Notably, this also naturally exposes the rich combinatorial and geometric structures of amplituhedra, such as their regular triangulations.en
dc.language.isoeng
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.rightsEmbargoed
dc.titleAmplituhedron meets Jeffrey-Kirwan Residueen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionMathematics Research Group
dc.description.statusPeer reviewed
dc.date.embargoedUntil2019-12-18
dc.relation.schoolSchool of Physics, Astronomy and Mathematics
dc.description.versiontypeFinal Accepted Version
dcterms.dateAccepted2018-12-28
rioxxterms.versionAM
rioxxterms.versionAM
rioxxterms.versionofrecordhttps://doi.org/10.1088/1751-8121/aaf3c3
rioxxterms.licenseref.startdate2019-12-18
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue
herts.date.embargo2019-12-18
herts.rights.accesstypeEmbargoed


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