{
  "abstract": "A bstract : We investigate a global sigma model anomaly in two-dimensional sigma models with Majorana-Weyl fermions coupled to a sigma model field with target space G . The anomaly originates from the nontrivial topology of the space of maps and manifests as a phase in the fermion path integral. Using the holonomy formula expressed in terms of the reduced η -invariant, we demonstrate that this anomaly modifies the standard quantization condition of the Wess-Zumino term on G , in close analogy with the three-dimensional parity anomaly. However, our situation is more refined and highlights a qualitatively new phenomenon in two dimensions: whereas in three dimensions the anomalous quantization restricts the level to lie in a half-integer lattice, here it can force the level to take arbitrary real values . Furthermore, our results support the consistency of the low-energy description proposed by Gaiotto, Johnson-Freyd, and Witten for three-dimensional $$ \\mathcal{N} $$ N = 1 supersymmetric Yang-Mills theory on an interval, by highlighting a subtle and qualitatively distinct nature of the sigma-model anomalies.",
  "abstract_shown": true,
  "affiliations": [
    "Perimeter Institute for Theoretical Physics"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Changha Choi",
      "orcid": "0000-0003-3814-0407"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9dnvcv3hq3pjp.bib",
  "cited_by": 0,
  "doi": "10.1007/jhep10(2026)146",
  "fulltext_url": null,
  "id": "9dnvcv3hq3pjp",
  "issns": [
    "1029-8479"
  ],
  "landing_url": "https://link.springer.com/article/10.1007/JHEP10(2026)146",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W4414990398",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/JHEP10(2026)146.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": "Springer Science and Business Media LLC",
  "ris": "https://research.draconitic.com/paper/9dnvcv3hq3pjp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "10.1007/jhep10(2026)146",
      "source": "crossref",
      "url": "https://link.springer.com/article/10.1007/JHEP10(2026)146"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3106|Black Holes and Theoretical Physics",
      "subfield": "high-energy"
    }
  ],
  "title": "Global anomalies in sigma models with Majorana-Weyl fermions",
  "title_text": "Global anomalies in sigma models with Majorana-Weyl fermions",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/9dnvcv3hq3pjp",
  "venue": "Journal of High Energy Physics",
  "versions": []
}