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2014

Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes

Kim, Joonho, Lee, Sangmin

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A novel understanding of scattering amplitudes in terms of on-shell diagrams and positive Grassmannian has been recently established for four dimensional Yang-Mills theories and three dimensional Chern-Simons theories of ABJM type.

We give a detailed construction of the positroid stratification of orthogonal Grassmannian relevant for ABJM amplitudes.
On-shell diagrams are classified by pairing of external particles.
We introduce a combinatorial aid called `OG tableaux' and map each equivalence class of on-shell diagrams to a unique tableau.

Positroid Stratification of Orthogonal Grassmannian and ABJM Amplitudes · Around

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