Antony was a leading follower of Julius Caesar and supporter of Popular Monarchy over both Republicanism and tyrannical Imperialism. Supported Caesar's egalitarian wealth redistribution laws.
Cleopatra was a Hellenic Egyptian Queen who resisted Roman Imperialism and wanted to preserve Egyptian independence, and restore its ancient traditions.
Formed an alliance (as lovers), after the murder of Caesar, and hoped to create a 'new world order', with Antony declaring himself an avatar of Dionysos (as Alexander the Great had done) and Cleo declaring herself an avatar of Isis, thus forming an Osirian marriage.
They were both popular with the common people and won victories, but were eventually defeated by Rome. Cleopatra killing herself with the help a poisonous asp. Antony soon followed.

Their story was dramatised by Shakespeare.