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arXiv · 2411.16852

Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization

Hisham Sati·Urs Schreiber
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Abstract

We observe that there is a rigorous derivation of (abelian) anyonic quantum states, hence of "topological order", on the 1+2-dimensional fixed locus of M5-probes wrapped over a trivially Seifert-fibered 3-orbifold singularity. Similar statements have previously been conjectured by appeal to the unknown dynamics of "coincident" M5-branes, but neglecting effects of flux-quantization that, as we highlight, entail anyonic solitons already in the rigorously tractable case of single M5-brane probes. This is possible after globally completing the "self-dual" tensor field on probe M5-branes by flux quantization in the non-abelian cohomology theory called equivariant twistorial Cohomotopy, which is admissible by recent results.

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Hisham Sati, Urs Schreiber. 2024-11-25. Anyons on M5-Probes of Seifert 3-Orbifolds via Flux Quantization. https://doi.org/10.1007/s11005-025-01918-z

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