Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards Amplituhedron via One-Dimensional Theory   Inspired by the closed contour of momentum conservation in an interaction, we
introduce an integrable one-dimensional theory that underlies some integrable
models such as the Kadomtsev-Petviashvili (KP)-hierarchy and the amplituhedron.
In this regard, by defining the action and partition function of the presented
theory, while introducing a perturbation, we obtain its scattering matrix
(S-matrix) with Grassmannian structure. This Grassmannian corresponds to a
chord diagram, which specifies the closed contour of the one-dimensional
theory. Then, we extract a solution of the KP-hierarchy using the S-matrix of
theory. Furthermore, we indicate that the volume of phase-space of the
one-dimensional manifold of the theory is equal to a corresponding Grassmannian
integral. Actually, without any use of supersymmetry, we obtain a sort of
general structure in comparison with the conventional Grassmannian integral and
the resulted amplituhedron that is closely related to the Yang-Mills scattering
amplitudes in four dimensions. The proposed theory is capable to express both
the tree- and loop-levels amplituhedron (without employing hidden particles)
and scattering amplitude in four dimensions in the twistor space as particular
cases.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci