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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.12431 |
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| _version_ | 1866917390826078208 |
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| author | Sati, Hisham Schreiber, Urs |
| author_facet | Sati, Hisham Schreiber, Urs |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_12431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complete Topological Quantization of Higher Gauge Fields Sati, Hisham Schreiber, Urs High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Algebraic Topology Quantum Physics Primary: 81T70, 81T45 81T13, 81T30, 55N20, 53C08, 55P62, Secondary: 83E50, 81V27, 81V70, 18G35, 81T35 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. |
| title | Complete Topological Quantization of Higher Gauge Fields |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Algebraic Topology Quantum Physics Primary: 81T70, 81T45 81T13, 81T30, 55N20, 53C08, 55P62, Secondary: 83E50, 81V27, 81V70, 18G35, 81T35 |
| url | https://arxiv.org/abs/2512.12431 |