Yes, according to some interpretations of Greek mythology, Hades has cheated on Persephone.
Hades' Infidelity and Persephone's Response
While not a universally agreed upon aspect of the Hades and Persephone myth, several accounts suggest Hades was unfaithful. The most well-known example involves Minthe.
Minthe and Persephone's Revenge
Minthe was a nymph who boasted that she was more beautiful than Persephone and that she would win Hades back. In response, Persephone, fueled by jealousy and rage, transformed Minthe into the mint plant. This act highlights Persephone's possessiveness and demonstrates that she was not oblivious to Hades' affections for others. It also suggests an unequal power dynamic where she punished the object of Hades' affection instead of Hades himself.
Other Possible Affairs
While the Minthe story is the most prominent, other minor figures in some tellings of the myth could be interpreted as evidence of Hades engaging in extramarital affairs or, at the very least, offering them unwanted attention.
Conclusion
Therefore, the answer to whether Hades cheated on Persephone depends on the specific version of the myth being considered. In the case of Minthe, Persephone's reaction implies infidelity on Hades' part.