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<p>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 <i>equivariant twistorial Cohomotopy</i>, which is admissible by recent results.</p>

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Anyons on M5-probes of Seifert 3-orbifoldsvia flux quantization

  • 期刊论文

  • 发表日期：

    2025年3月24日

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  • Hisham Sati,
  • Urs Schreiber

摘要

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.