Introduction to Higher Gauge Theory via Differential Nonabelian Cohomology in Cohesive Homotopy Theory
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.
Authors
- Urs Schreiber (ORCID: https://orcid.org/0000-0002-2876-8877)
- Hisham Sati (ORCID: https://orcid.org/0000-0002-7998-5206)
Publication Details
- Journal
- Reviews in Mathematical Physics
- Published
- 2026-10-26
- DOI
- https://doi.org/10.1142/s0129055x26500194
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00