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Ising anyons in the SU(2)2 Chern--Simons theory

arXiv
Authors: Artem Belov, Andrey Morozov

Year

2026

Paper ID

63951

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

N/A

Abstract

The present work is motivated by the statement that the Ising minimal model mathcal{M}(4,3) is equivalent, at the level of observables, to the SU(2)2 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.

Why This Paper Matters

  • It adds a 2026 reference point for readers tracking recent quantum research.
  • The present work is motivated by the statement that the Ising minimal model mathcalM(4,3) is equivalent, at the level of observables, to the SU(2)2 Chern--Simons theory.

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