The eta-prime potential must have at least gcd(N,N_f) cusped branches when gcd(N,N_f)>1, and s-confinement is only possible when gcd(N,N_f)=1.
A Planar Diagram Theory for Strong Interactions,
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On cusps in the $\eta'$ potential
The eta-prime potential must have at least gcd(N,N_f) cusped branches when gcd(N,N_f)>1, and s-confinement is only possible when gcd(N,N_f)=1.