Yangian symmetry for the tree amplituhedron. (29th June 2017)

• Record Type: Journal Article
• Authors: Ferro, Livia; Łukowski, Tomasz; Orta, Andrea; Parisi, Matteo
• Is Part Of: Journal of physics. Volume 50:Number 29(2017)
• Publication Date: 2017-06-29
• Subjects: scattering amplitudes -- supersymmetric gauge theory -- integrable field theories; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa7594
• Languages: English
• ISSNs: 1751-8113

Abstract

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 obtaining 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 new on-shell diagrammatics for the amplituhedron.