Abstract
It has been recently conjectured that scattering amplitudes in planar N = 4 super Yang-Mills are given by the volume of the (dual) amplituhedron. In this paper we show some interesting connections between the tree-level amplituhedron and a special class of differential equations. In particular we demonstrate how the amplituhedron volume for NMHV amplitudes is determined by these differential equations. The new formulation allows for a straightforward geometric description, without any reference to triangulations. Finally we discuss possible implications for volumes related to generic (NMHV)-M-k amplitudes.
Dokumententyp: | Zeitschriftenartikel |
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Fakultät: | Physik |
Themengebiete: | 500 Naturwissenschaften und Mathematik > 530 Physik |
URN: | urn:nbn:de:bvb:19-epub-38016-5 |
ISSN: | 1029-8479 |
Sprache: | Englisch |
Dokumenten ID: | 38016 |
Datum der Veröffentlichung auf Open Access LMU: | 04. Mai 2017, 13:11 |
Letzte Änderungen: | 08. Mai 2024, 09:11 |