تقرير
All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron
| العنوان: | All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron |
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| المؤلفون: | He, Song, Kuo, Chia-Kai, Li, Zhenjie, Zhang, Yao-Qi |
| المصدر: | Phys. Rev. Lett. 129, 221604 (2022) |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We define a new geometry obtained from the all-loop amplituhedron in ${\cal N}=4$ SYM by reducing its four-dimensional external and loop momenta to three dimensions. Focusing on the simplest four-point case, we provide strong evidence that the canonical form of this ``reduced amplituhedron" gives the all-loop integrand of the ABJM four-point amplitude. In addition to various all-loop cuts manifested by the geometry, we present explicitly new results for the integrand up to five loops, which are much simpler than results in ${\cal N}=4$ SYM. One of the reasons for such all-loop simplifications is that only a very small fraction of the so-called negative geometries survive the dimensional reduction, which corresponds to bipartite graphs. Our results suggest an unexpected relation between four-point amplitudes in these two theories. Comment: 5 pages + appendices, version accepted in PRL |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevLett.129.221604 |
| URL الوصول: | http://arxiv.org/abs/2204.08297 |
| رقم الأكسشن: | edsarx.2204.08297 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevLett.129.221604 |
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