What is the Amplituhedron

By J. Bourjaily, Hugh Thomas. 2018

409 citations recorded by the source corpus.

Subfields: Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7ffcccde9f1d5f9a433b9c4ba24246f9e838214f

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Citations in the corpus

Loops in AdS from conformal field theory (2016, background): “For inspiration and contrast, consider the decades of fantastic progress in understanding flat space S-matrices, which contain extremely powerful physical and mathematical structures: they relate loops to trees [18, 19], gravitational theories to gauge theories [20], and have suggested a re-imaginat”
TASI Lectures on Scattering Amplitudes (2017, background): “On-shell tools have excavated a landscape of structures: hidden Yangian and dual conformal symmetries [80, 81, 82, 83, 84], reformulations of the S-matrix in twistor space [85, 86, 22, 87, 88, 89, 90, 91] and Grassmannian space [92, 93, 94], as well as connections to abstract volumes [12, 95] like t”
Positive geometries and canonical forms (2017, methodology): “Our methods are not able to rigorously prove it, but a triangulation of this Grassmann polytope appears to be given by the images under Z of the four 4-dimensional positroid cells [2][3][4][5] : (∗1) = 0, [1][2][3][5] : (∗4) = 0, [1][2][3][4] : (∗5) = 0, [12][34][5] : (12) = (34) = 0 (7.”
Scattering forms and the positive geometry of kinematics, color and the worldsheet (2017, background): “Over the past five years, we have also seen an apparently quite different set of mathematical ideas [9–11] underlying scattering amplitudes in planar maximally supersymmetric gauge theory—the amplituhedron [12].”
Heptagons from the Steinmann cluster bootstrap (2016, background): “Another potential constructive approach could involve the Amplituhedron [54, 55]”
Regularity theorem for totally nonnegative flag varieties (2019, methodology): “We formulate our results in the abstract language of totally nonnegative spaces since we expect that they can be applied in other contexts, such as to totally nonnegative Kac– Moody flag varieties, totally nonnegative double Bruhat cells [8], spaces of electrical networks [23], spaces of boundary co”