Parliamentary government
There are a number of different styles of totalitarianism which are all heavily authoritarian. The most extreme form appears to be Stalinism. There presently remains only one Stalinist state left on Earth, which is North Korea.
By most accounts, there is no such thing as an authoritarian democracy, since, by definition, democracies and authoritarian regimes are dichotomous.
Stern is a close synonym for authoritarian.
Stern would be the most similar to authoritarian.
Anarchy, authoritarian, totalitarian
No
Japan
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An authoritarian ruler answers only to themselves, not the people. Dictators are most likely to be authoritarian.
A republic is a form of government which is not rules and aristocrat: a king (monarchy), prince (principate) or duke (duchy). a republic can have any king of political regime, so long as it is not rules by an aristocrat. It can be a democracy, an authoritarian state or a dictatorship. Most modern countries are republics.
China, Cuba, Laos, Vietnam, and North Korea.