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PreprintarXiv licencearXiv

Amplituhedra and origami, II: loop level

  • Pavel Galashin
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Abstract

Building on the recently discovered origami-amplituhedron correspondence, we prove that the BCFW (Britto-Cachazo-Feng-Witten) cells triangulate the m=4 amplituhedron in full generality at all loop orders, both in momentum and momentum-twistor space. Along the way, we develop two natural "L-punctured" extensions of the positive Grassmannian and relate them via T-duality.

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Cite

BibTeXRIS
BibTeX
@misc{galashin2026amplituhedra,
  title = {{Amplituhedra and origami, II: loop level}},
  author = {Pavel Galashin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.03439},
  eprint = {2606.03439},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.03439},
}
RIS
TY  - UNPB
TI  - Amplituhedra and origami, II: loop level
AU  - Pavel Galashin
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2606.03439
UR  - https://arxiv.org/abs/2606.03439
AB  - Building on the recently discovered origami-amplituhedron correspondence, we prove that the BCFW (Britto-Cachazo-Feng-Witten) cells triangulate the m=4 amplituhedron in full generality at all loop orders, both in momentum and momentum-twistor space. Along the way, we develop two natural "L-punctured" extensions of the positive Grassmannian and relate them via T-duality.
ER  -