Lepton flavor violation and new fundamental symmetries of nature

The predictions for rare processes involving Muons in the Left-right symmetric and general supersymmetric theories of weak interactions are discussed. It is pointed out that rare muon processes such as muonium to antimuonium conversion, μ-→e-νeνmu provide sensitive tests of left-right symmetric theories if the scale of right-handed interactions is in the TeV range. Furthermore, if the neutrino spectrum of the model is of the eV:KeV:MeV type, then cosmological constraints imply a lower bound on the rates for these processes which when violated will rule out this class of models. Other rare muon decays such as μ → eγ and μ → 3e are also predicted to be in the observable range in the next generation of experiments. The author also discusses the implications of the general class of supersymmetric standard models which include R-parity violating interactions. This work shows that several rare muon processes can occur at observable rate in these models