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The electroweak axion is identified with the fuzzy dark matter of a mass$m\simeq 10^{-20}$--$10^{-19}\,{\rm eV}$. The model predicts two components ofdark matter, one is ultralight and the other is WIMP-like. TheChern-Simons-type interaction between the fuzzy dark matter and photon and the$B+L$ breaking proton decays are predicted.

Electroweak Axion as the Fuzzy Dark Matter -- A Proposal for the Mixed Fuzzy and Cold Dark Matters