{
  "abstract": "We look at a new string$^h$ tangential structure first introduced by Devalapurkar and relate it to the $W_7=0$ condition of Diaconescu-Moore-Witten for type IIA string theory and M-theory. We show that a string$^h$ structure on the target space automatically satisfies the $W_7=0$ condition, and we explain when the $W_7=0$ condition lifts to a string$^h$ structure. Devalapurkar initially constructed ${\\rm MTString}^h$ in such a way that it orients ${\\rm tmf}_1(3)$; we~extend Devalapurkar's result by showing that ${\\rm MTString}^h$ orients ${\\rm tmf}_1(n)$. We compute the homotopy groups of ${\\rm MTString}^h$ in dimensions relevant to physical applications and apply them to anomaly cancellation for certain compactifications of type IIA string theory.",
  "abstract_shown": true,
  "affiliations": [
    "University of Kentucky, USA",
    "University of Oxford, UK"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Arun Debray"
    },
    {
      "affs": [
        1
      ],
      "name": "Matthew Yu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/17r3k1hn6qk3p.bib",
  "cited_by": 0,
  "doi": "10.3842/sigma.2026.100",
  "fulltext_url": null,
  "id": "17r3k1hn6qk3p",
  "issns": [
    "1815-0659"
  ],
  "landing_url": "https://sigma-journal.com/2026/100/",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W4404405394",
  "pdf_url": "https://sigma-journal.com/2026/100/sigma26-100.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": "SIGMA (Symmetry, Integrability and Geometry: Methods and Application)",
  "ris": "https://research.draconitic.com/paper/17r3k1hn6qk3p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:27Z",
      "native_id": "10.3842/sigma.2026.100",
      "source": "crossref",
      "url": "https://sigma-journal.com/2026/100/"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Homotopy and Cohomology in Algebraic Topology",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Type IIA String Theory and tmf with Level Structure",
  "title_text": "Type IIA String Theory and tmf with Level Structure",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:27Z",
  "url": "https://research.draconitic.com/paper/17r3k1hn6qk3p",
  "venue": "Symmetry, Integrability and Geometry: Methods and Applications",
  "versions": []
}