Axion quality from superconformal dynamics

We discuss a possibility that a superconformal dynamics induces the emergence of a global $U{\left(1\right)}_{\mathrm{PQ}}$ symmetry to solve the strong CP problem through the axion. Fields spontaneously breaking the $U{\left(1\right)}_{\mathrm{PQ}}$ symmetry couple to new quarks charged under the ordinary color $SU{\left(3\right)}_C$ and a new $SU\left(N\right)$ gauge group. The theory flows into an IR fixed point where the $U{\left(1\right)}_{\mathrm{PQ}}$ breaking fields hold a large anomalous dimension leading to the suppression of $U{\left(1\right)}_{\mathrm{PQ}}$-violating higher dimensional operators. The spontaneous breaking of the $U{\left(1\right)}_{\mathrm{PQ}}$ makes the new quarks massive. The $U{\left(1\right)}_{\mathrm{PQ}}$ symmetry is anomalous under the $SU{\left(3\right)}_C$ but not under the $SU\left(N\right)$ so that the axion couples to only the color $SU{\left(3\right)}_C$ and the usual axion potential is generated. We also comment on a model that the $U{\left(1\right)}_{\mathrm{PQ}}$ breaking fields are realized as meson superfields in a new supersymmetric QCD.