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        Yangian Symmetry for the Tree Amplituhedron

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        1612.04378v2.pdf (PDF, 481Kb)
        Author
        Ferro, Livia
        Lukowski, Tomasz
        Orta, Andrea
        Parisi, Matteo
        Attention
        2299/20724
        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.
        Publication date
        2017-06-29
        Published in
        Journal of Physics A: Mathematical and Theoretical
        Published version
        https://doi.org/10.1088/1751-8121/aa7594
        Other links
        http://hdl.handle.net/2299/20724
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