The orthogonal momentum amplituhedron and ABJM amplitudes
| Autor: | Yu-tin Huang, Ryota Kojima, Congkao Wen, Shun-Qing Zhang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics High Energy Physics - Theory (hep-th) Nuclear and particle physics. Atomic energy. Radioactivity Computer Science::Mathematical Software FOS: Physical sciences QC770-798 Scattering Amplitudes Computer Science::Digital Libraries Supersymmetric Gauge Theory |
| Zdroj: | Journal of High Energy Physics, Vol 2022, Iss 1, Pp 1-23 (2022) Journal of High Energy Physics |
| Popis: | 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. typos corrected, JHEP published version |
| Databáze: | OpenAIRE |
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