https://scholars.lib.ntu.edu.tw/handle/123456789/606841
標題: | The orthogonal momentum amplituhedron and ABJM amplitudes | 作者: | Huang Y.-T Kojima R Wen C Zhang S.-Q. YU-TIN HUANG |
關鍵字: | Scattering Amplitudes; Supersymmetric Gauge Theory; | 公開日期: | 2022 | 卷: | 2022 | 期: | 1 | 來源出版物: | Journal of High Energy Physics | 摘要: | 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 N = 4 super Yang-Mills theory (sYM). Thus in a precise sense the geometry for ABJM lives on the boundary of 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 N = 4 formalism for ABJM theory. ? 2022, The Author(s). |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85123616401&doi=10.1007%2fJHEP01%282022%29141&partnerID=40&md5=dac9d8e328ef82a345f8958d2107d07b https://scholars.lib.ntu.edu.tw/handle/123456789/606841 |
ISSN: | 10298479 | DOI: | 10.1007/JHEP01(2022)141 |
顯示於: | 物理學系 |
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