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| Natura: | Preprint |
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2026
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| Accesso online: | https://arxiv.org/abs/2603.14440 |
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| _version_ | 1866911518019289088 |
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| author | Banerjee, Pinak Sati, Hisham Schreiber, Urs |
| author_facet | Banerjee, Pinak Sati, Hisham Schreiber, Urs |
| contents | The electric Gauss law in 11D SuGra is famously non-linear, whence its flux quantization must be in nonabelian cohomology. We have previously shown that the minimal admissible choice is 4-Cohomotopy, which in the presence of magnetized M5-probes takes its relative twistorial form.
Here we discuss how this situation is further refined in the presence of M-string probes on the M5-worldvolume. Based on the superspace formulation of 11D SuGra, we find the nested Bianchi identities by iterating the superembedding construction for super p-branes. The resulting probe brane hierarchy (M1 on magnetized M5 in 11D bulk) turns out to admit flux quantization in a doubly-relative form of twisted Cohomotopy, classified by the factorization of the quaternionic Hopf fibration through the twistor fibration.
The further equivariant refinement of this cohomology theory reduces on A-type singularities to a form of relative 2-Cohomotopy which geometrically engineers Chern-insulator phases on $\mathrm{M5}\cap \mathrm{A}_n$, with the M-string playing the role of gapped nodal lines. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14440 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flux Quantization on M-Strings Banerjee, Pinak Sati, Hisham Schreiber, Urs High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Algebraic Topology Prinary: 81T30, 83E50, Secondary: 55Q55, 55N20, 81V70 The electric Gauss law in 11D SuGra is famously non-linear, whence its flux quantization must be in nonabelian cohomology. We have previously shown that the minimal admissible choice is 4-Cohomotopy, which in the presence of magnetized M5-probes takes its relative twistorial form. Here we discuss how this situation is further refined in the presence of M-string probes on the M5-worldvolume. Based on the superspace formulation of 11D SuGra, we find the nested Bianchi identities by iterating the superembedding construction for super p-branes. The resulting probe brane hierarchy (M1 on magnetized M5 in 11D bulk) turns out to admit flux quantization in a doubly-relative form of twisted Cohomotopy, classified by the factorization of the quaternionic Hopf fibration through the twistor fibration. The further equivariant refinement of this cohomology theory reduces on A-type singularities to a form of relative 2-Cohomotopy which geometrically engineers Chern-insulator phases on $\mathrm{M5}\cap \mathrm{A}_n$, with the M-string playing the role of gapped nodal lines. |
| title | Flux Quantization on M-Strings |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Mathematical Physics Algebraic Topology Prinary: 81T30, 83E50, Secondary: 55Q55, 55N20, 81V70 |
| url | https://arxiv.org/abs/2603.14440 |