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Browsing by Author "Stalknecht, Jonah"
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The hypersimplex canonical forms and the momentum amplituhedron-like logarithmic forms
Lukowski, Tomasz; Stalknecht, Jonah (2022-04-20)In this paper we provide a formula for the canonical differential form of the hypersimplex Δ k,n for all n and k. We also study the generalization of the momentum amplituhedron Mn,k to m = 2, which has been conjectured to ... -
Momentum amplituhedron for N=6 Chern-Simons-matter Theory: Scattering amplitudes from configurations of points in Minkowski space
Lukowski, Tomasz; Stalknecht, Jonah (2023-10-17)In this Letter, we define the Aharony-Bergman-Jafferis-Maldacena loop momentum amplituhedron, which is a geometry encoding Aharony-Bergman-Jafferis-Maldacena planar tree-level amplitudes and loop integrands in the ... -
On the geometry of the orthogonal momentum amplituhedron
Łukowski, Tomasz; Moerman, Robert; Stalknecht, Jonah (2022-12-01)In this paper we focus on the orthogonal momentum amplituhedron Ok, a recently introduced positive geometry that encodes the tree-level scattering amplitudes in ABJM theory. We generate the full boundary stratification of ... -
Prescriptive Unitarity from Positive Geometries
Ferro, Livia; Glew, Ross; Lukowski, Tomasz; Stalknecht, Jonah (2024-03-01)In this paper, we define the momentum amplituhedron in the four-dimensional split-signature space of dual momenta. It encodes scattering amplitudes at tree level and loop integrands for N=4 super Yang-Mills in the planar ... -
Pushforwards via scattering equations with applications to positive geometries
Łukowski, Tomasz; Moerman, Robert; Stalknecht, Jonah (2022-10-03)In this paper we explore and expand the connection between two modern descriptions of scattering amplitudes, the CHY formalism and the framework of positive geometries, facilitated by the scattering equations. For theories ...