An article that we have written at CQTS:
Hisham Sati and Urs Schreiber:
Anyons on M5-Probes of Seifert 3-Orbifolds
via Flux-Quantization
Letters in Mathematical Physics (2025, in print)
download:
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.
Combining results from:
Lecture notes:
Related expositions:
Last revised on March 1, 2025 at 17:53:36. See the history of this page for a list of all contributions to it.