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On the face stratification of the $m=2$ amplituhedron

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arxiv 2403.06948 v3 pith:BSP7KSTR submitted 2024-03-11 math.CO hep-thmath-phmath.AGmath.MP

Thomas Lam This is my paper · ORCID
classification math.COhep-thmath-phmath.AGmath.MP
keywords faceamplituhedronlukowskiposetstratificationconfirmconsistentconstruction
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We define and study the face stratification of the m=2 amplituhedron. We show that the face poset is an upper order ideal in the face poset of the totally nonnegative Grassmannian. Our construction is consistent with earlier work of Lukowski, and we confirm various predictions of Lukowski.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Two-loop four-point amplitudes on the Coulomb branch of ${\mathcal{N}}=4$ super Yang-Mills

    hep-th 2025-01 conditional novelty 8.0 of 10

    The subleading Regge-limit exponent of a Coulomb branch four-point amplitude in N=4 SYM matches the anomalous dimension of a cusped Wilson loop with a scalar insertion, known from integrability.

  2. Exterior Cyclic Polytopes and Convexity of Amplituhedra

    math.CO 2025-07 conditional novelty 7.0 of 10

    For k=m=2, the amplituhedron equals the intersection of Gr(2,4) with the exterior cyclic polytope C_{2,2,n}(Z), and its extendable convex dual is the twisted amplituhedron.

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