Differences in representation structure between the Ising minimal model and SU(2)_2 Chern-Simons theory do not impact observables relevant to topological quantum computation.
Chern–simons theory with wilson lines and boundary in the bv–bfv formalism.Journal of Geometry and Physics, 67:1–15, 2013
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Ising anyons in the $SU(2)_2$ Chern--Simons theory
Differences in representation structure between the Ising minimal model and SU(2)_2 Chern-Simons theory do not impact observables relevant to topological quantum computation.