All-plus Yang--Mills and gravity wavefunctions in de Sitter space

Abstract

We present sewing representations for tree-level all-plus wavefunctions in four-dimensional de Sitter space. For Yang--Mills theory, the arbitrary-multiplicity formula is a sum over noncrossing polygon dissections, with each cell carrying energy differences of a full lower-point wavefunction. The absence of a generic total-energy pole is manifest, while partial-energy residues are determined by the lower-point factors. We derive this representation from self-dual Yang--Mills solutions. For Einstein gravity, we propose an arbitrary-multiplicity formula consisting of an alternating sum over labelled sewing trees plus a local gravitational Chern--Simons term. This local term arises from the self-dual Einstein action and supplies boundary data not fixed by internal-energy cuts. We derive a generating formula for it from the boundary connection and give explicit expressions through seven points.

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BibTeX RIS

BibTeX

@misc{he2026allplus,
  title = {{All-plus Yang--Mills and gravity wavefunctions in de Sitter space}},
  author = {Song He and Jiajie Mei and Yuyu Mo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.34261},
  eprint = {2610.34261},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.34261},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - All-plus Yang--Mills and gravity wavefunctions in de Sitter space
AU  - Song He
AU  - Jiajie Mei
AU  - Yuyu Mo
PY  - 2026
DA  - 2026/10/25
PB  - arXiv
DO  - 10.48550/arxiv.2610.34261
UR  - https://arxiv.org/abs/2610.34261
AB  - We present sewing representations for tree-level all-plus wavefunctions in four-dimensional de Sitter space. For Yang--Mills theory, the arbitrary-multiplicity formula is a sum over noncrossing polygon dissections, with each cell carrying energy differences of a full lower-point wavefunction. The absence of a generic total-energy pole is manifest, while partial-energy residues are determined by the lower-point factors. We derive this representation from self-dual Yang--Mills solutions. For Einstein gravity, we propose an arbitrary-multiplicity formula consisting of an alternating sum over labelled sewing trees plus a local gravitational Chern--Simons term. This local term arises from the self-dual Einstein action and supplies boundary data not fixed by internal-energy cuts. We derive a generating formula for it from the boundary connection and give explicit expressions through seven points.
ER  -

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