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PreprintarXiv licencearXiv

Higher Gauge Theory via Differential Nonabelian Cohomology

  • Hisham Sati
  • Urs Schreiber
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Abstract

This is a streamlined introduction to the global (infrared) completion of Maxwell-type higher gauge fields (as in the higher gauge sectors of higher dimensional supergravity and its brane probes) by electromagnetic flux quantization in differential nonabelian cohomology, using cohesive homotopy theory. Applications include D/NS brane charge in (unstable) K-theory, M-brane charge in unstable Cohomotopy and geometric engineering of topological quantum order on probe M5-branes.

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Cite

BibTeXRIS
BibTeX
@misc{sati2026higher,
  title = {{Higher Gauge Theory via Differential Nonabelian Cohomology}},
  author = {Hisham Sati and Urs Schreiber},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2606.12534},
  eprint = {2606.12534},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.12534},
}
RIS
TY  - UNPB
TI  - Higher Gauge Theory via Differential Nonabelian Cohomology
AU  - Hisham Sati
AU  - Urs Schreiber
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2606.12534
UR  - https://arxiv.org/abs/2606.12534
AB  - This is a streamlined introduction to the global (infrared) completion of Maxwell-type higher gauge fields (as in the higher gauge sectors of higher dimensional supergravity and its brane probes) by electromagnetic flux quantization in differential nonabelian cohomology, using cohesive homotopy theory. Applications include D/NS brane charge in (unstable) K-theory, M-brane charge in unstable Cohomotopy and geometric engineering of topological quantum order on probe M5-branes.
ER  -