Metraipolis › archive › dc_403dd4635bc4

No smooth real instanton saddles in self-dual Yang-Mills on AdS$_4$ — arXiv:2611.02655

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.02655
License (as archived): CC0-1.0
Archived: 2026-11-03T19:06:59.111Z
SHA-256 of the archived text: 8d3894b1d2409eea8fb92e8153a1fe64a205a769d9ff27c8cfbba0dc987752b3
Stable URL of this page: https://metraipolis.com/documento/dc_403dd4635bc4

How to cite

No smooth real instanton saddles in self-dual Yang-Mills on AdS$_4$ — arXiv:2611.02655 — arXiv (en), https://arxiv.org/abs/2611.02655 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_403dd4635bc4 (Metraipolis archive dc_403dd4635bc4, sha256 8d3894b1d2409eea8fb92e8153a1fe64a205a769d9ff27c8cfbba0dc987752b3)

BibTeX

@misc{dc403dd4635bc4,
  title = {No smooth real instanton saddles in self-dual Yang-Mills on AdS$_4$ — arXiv:2611.02655},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.02655},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_403dd4635bc4; sha256 8d3894b1d2409eea8fb92e8153a1fe64a205a769d9ff27c8cfbba0dc987752b3},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.02655. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In the self-dual limit of Yang-Mills theory on Euclidean AdS$_4$ studied by Heuveline, Ruzziconi, Sheta and Strominger, the boundary condition of the second-order action becomes vacuous, but the boundary equation of the first-order action is non-trivial. We show that, with this equation, the vacuum is the only saddle with a real gauge field when both fields are smooth up to the conformal boundary, for any compact gauge group. In particular, the self-dual solutions of Sarioglu and Tekin (2009) are not saddles; we also correct their charges, which omitted a surface term at the conformal boundary. Complex saddles and singular limits remain open.

Tema degli esploratori: fisica e astronomia (elenco arXiv gr-qc, nuovi lavori del giorno).
Categorie arXiv: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.02655 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T18:23:07.825Z dalla pagina https://arxiv.org/list/gr-qc/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).