{
  "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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  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.03439",
  "author_total": 1,
  "authors": [
    {
      "name": "Pavel Galashin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/20gk9s43m0bmm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.03439",
  "fulltext_url": null,
  "id": "20gk9s43m0bmm",
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  "landing_url": "https://arxiv.org/abs/2606.03439",
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      "hep-th"
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      "math-ph"
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      "math.AG"
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  "openalex": "W7163386335",
  "pdf_url": "https://arxiv.org/pdf/2606.03439",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/20gk9s43m0bmm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:22Z",
      "native_id": "2606.03439",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.03439"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Amplituhedra and origami, II: loop level",
  "title_text": "Amplituhedra and origami, II: loop level",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/20gk9s43m0bmm",
  "venue": "arXiv",
  "versions": []
}