The BCFW Tiling of the ABJM Amplituhedron

TL;DR

This paper proves that the orthogonal momentum amplituhedron for ABJM theory can be decomposed into BCFW cells, confirming a key conjecture in the geometric understanding of scattering amplitudes.

Contribution

The paper provides a proof that the orthogonal momentum amplituhedron admits a BCFW tiling, advancing the geometric approach to ABJM scattering amplitudes.

Findings

Confirmed the BCFW tiling conjecture for the orthogonal momentum amplituhedron.

Established a geometric decomposition into BCFW cells.

Enhanced understanding of the amplituhedron structure in ABJM theory.

Abstract

The orthogonal momentum amplituhedron O_k was introduced simultaneously in 2021 by Huang, Kojima, Wen, and Zhang, and by He, Kuo, and Zhang, in the study of scattering amplitudes of ABJM theory. It was conjectured that it admits a decomposition into BCFW cells. We prove this conjecture.