In the 331 model, the non-topological Z′ string is classically stable only near the semilocal limit θ_S≈π/2, which is incompatible with SU(6)/SU(N>5) unification constraints.
Axion model with the SU(6) unification
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The non-topological $Z^\prime$ string in the 331 model and its classical stability
In the 331 model, the non-topological Z′ string is classically stable only near the semilocal limit θ_S≈π/2, which is incompatible with SU(6)/SU(N>5) unification constraints.