Abstract
We consider the possibility to continue the Z6 symmetry of the Standard Model to the Technicolor theories. Among the SU(N) Weinberg–Susskind models and the SU(N) Farhi–Susskind models for N>2 only the SU(4) Farhi–Susskind model may possess the mentioned symmetry. We also show that the hypercharge assignment of Minimal Walking SU(2) Technicolor model may be chosen in such a way that the additional discrete symmetry is preserved.
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