Ising anyons in the $SU(2)_2$ Chern--Simons theory
High Energy Physics - Theory
2026-05-18 v1 Quantum Physics
Abstract
The present work is motivated by the statement that the Ising minimal model is equivalent, at the level of observables, to the Chern--Simons theory. At first glance, however, these two theories appear to differ substantially. For instance, the number of irreducible highest-weight representations does not match the number of Ising anyons. For tensor products of low degree, these discrepancies are examined in this work. While representation structure differs, it does not affect the observables underlying topological quantum computation algorithms.
Keywords
Cite
@article{arxiv.2605.15268,
title = {Ising anyons in the $SU(2)_2$ Chern--Simons theory},
author = {Artem Belov and Andrey Morozov},
journal= {arXiv preprint arXiv:2605.15268},
year = {2026}
}