2025/12/13 by Hisham Sati, Urs Schreiber, Sati, Hisham +1 · 1 voice
Physics and Astronomy · #Black Holes and Theoretical Physics #Topological Materials and Phenomena #Quantum and Classical Electrodynamics
paper · doi:10.21468/scipostphyslectnotes.127
openalex created_date 2025/12/17 · openalex publication_date 2026/06/15 · openalex updated_date 2026/07/28
After global completion of higher gauge fields (as appearing in higher-dimensional supergravity) by proper flux quantization in extraordinary nonabelian cohomology, the (non-perturbative, renormalized) topological quantum observables and quantum states of solitonic field histories are completely determined through a topological form of light-front quantization. We survey the logic of this construction and expand on aspects of the quantization argument. In the instructive example of 5D Maxwell-Chern-Simons theory (the gauge sector of 5D SuGra) dimensionally reduced to 3D, a suitable choice of flux quantization in Cohomotopy (“Hypothesis h”) recovers this way the fine detail of the traditionally renormalized (Wilson loop) quantum observables of abelian Chern-Simons theory and makes novel predictions about anyons in fractional quantum (anomalous) Hall systems. An analogous choice (“Hypothesis H”) of global completion of 11D higher Maxwell-Chern-Simons theory (the higher gauge sector of 11D SuGra) realizes various aspects of the topological sector of the conjectural “M-theory” and its M5-branes.