Introduction to Higher Gauge Theory via Differential Nonabelian Cohomology in Cohesive Homotopy Theory
Year: 2026
Type: article
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.
Source: Reviews in Mathematical Physics
Authors: Hisham Sati, Urs Schreiber
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Tamkeen
OpenAlex ID: W7164479469