Higher Gauge Theory via Differential Nonabelian Cohomology

Hisham Sati; Urs Schreiber

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arXiv · 2606.12534

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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Hisham Sati, Urs Schreiber. 2026-06-10. Higher Gauge Theory via Differential Nonabelian Cohomology. https://arxiv.org/abs/2606.12534

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