The orthogonal momentum amplituhedron and ABJM amplitudes

A bstract In this paper, we introduce the momentum space amplituhedron for tree-level scattering amplitudes of ABJM theory. We demonstrate that amplitude can be identified as canonical form on given by product positive orthogonal Grassmannian and moment curve. The co-dimension one boundaries are simply odd-particle planar Mandelstam variables, while even-particle counterparts “hidden” higher boundaries. Remarkably, equally defined through a series “sign flip” requirements projected external data, identical to “half” four-dimensional $$ \mathcal{N} N = 4 super Yang-Mills theory (sYM). Thus in precise sense geometry lives boundary sYM. verify relation eight-points showing BCFW triangulation tiles amplituhedron. is naturally derived using formula formalism