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

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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess