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In string compactifications, frequently there appears the anomalous U(1)gauge symmetry which belonged to E8$\times$E8 of the heterotic string. Thisanomalous U(1) gauge boson obtains mass at the compactification scale, justbelow $10^{18\,}$GeV, by absorbing one pseudoscalar (corresponding to themodel-independent axion) from the second rank anti-symmetric tensor field$B_{MN}$.  Below the compactification scale, there results a global symmetry U(1)$_{\rmanom}$ whose charge $Q_{\rm anom}$ is the original gauge U(1) charge. This isthe most natural global symmetry, realizing the "invisible" axion. This globalsymmetry U(1)$_{\rm anom}$ is suitable for a flavor symmetry. In the simplestcompactification model with the flipped SU(5) grand unification, we calculateall the low energy parameters in terms of the vacuum expectation values of thestandard model singlets.

The anomalous U(1) global symmetry and flavors from an SU(5) x SU(5)$'$ GUT in $Z_{12-I}$ orbifold compactification