University of Hertfordshire

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By the same authors

Yangian Symmetry for the Tree Amplituhedron

Research output: Contribution to journalArticle

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  • 1612.04378v2

    Accepted author manuscript, 481 KB, PDF document

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Original languageEnglish
JournalJournal of Physics A: Mathematical and Theoretical
DOIs
Publication statusPublished - 29 Jun 2017

Abstract

Tree-level scattering amplitudes in planar N=4 super Yang-Mills are known to be Yangian-invariant. It has been shown that integrability allows to obtain a general, explicit method to find such invariants. The uplifting of this result to the amplituhedron construction has been an important open problem. In this paper, with the help of methods proper to integrable theories, we successfully fill this gap and clarify the meaning of Yangian invariance for the tree-level amplituhedron. In particular, we construct amplituhedron volume forms from an underlying spin chain. As a by-product of this construction, we also propose a novel on-shell diagrammatics for the amplituhedron.

Notes

17 pages, 4 figures; v2: extended discussion of results, minor typos corrected, version published in Journal of Physics A

ID: 15512257