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Higher Gauge Theory via Differential Nonabelian Cohomology
[Submitted on 10 Jun 2026 (v1), last revised 23 Jul 2026 (this v · 2026-06-12 · via math updates on arXiv.org

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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.

Submission history

From: Urs Schreiber [view email]
[v1] Wed, 10 Jun 2026 18:00:05 UTC (265 KB)
[v2] Thu, 23 Jul 2026 17:06:52 UTC (293 KB)