{
  "abstract": "Dirac-harmonic maps are a mathematical version of the supersymmetric non-linear sigma model of quantum field theory. Since they arise as critical points of an unbounded energy functional, it is a challenging task to establish general existence results. Within this manuscript we mainly prove a general existence result based on index theory for manifolds with boundary and apply it in various situations. Due to the presence of a boundary there are additional contributions in the Atiyah-Patodi-Singer index formula allowing for a non-vanishing index, which is the key argument in our proofs. Further explicit examples based on twistor spinors on surfaces are also presented.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24551",
  "author_total": 2,
  "authors": [
    {
      "name": "Volker Branding"
    },
    {
      "name": "Nicolas Ginoux"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bg6g4s1ysjpg9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24551",
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  "id": "bg6g4s1ysjpg9",
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  "landing_url": "https://hal.science/hal-05757916v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
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  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "2604|Geometric Analysis and Curvature Flows"
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  "pdf_url": "https://hal.science/hal-05757916/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bg6g4s1ysjpg9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:37Z",
      "native_id": "hal-05757916",
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      "url": "https://hal.science/hal-05757916v1"
    },
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.24551",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24551"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ap",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "hal:0.phys",
      "subfield": "general"
    }
  ],
  "title": "Dirac-harmonic maps from manifolds with boundary via index theory",
  "title_text": "Dirac-harmonic maps from manifolds with boundary via index theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/bg6g4s1ysjpg9",
  "venue": "HAL",
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}