Olaf II is a historical figure, also known as Saint Olaf, who was the King of Norway from 1015 to 1028. As a result, there are not many synonyms for the name Olaf II, as it is a proper noun. However, some alternative names for Olaf II include Olafr inn helgi in Old Norse, which translates to Olaf the Holy. He was also known by the moniker "eternal king" or "king forever," which could be used as a synonym for Olaf II. Additionally, he is sometimes referred to as Olaf Haraldsson, as he was the son of Harald Grenske. Overall, while there are not many direct synonyms for Olaf II, these alternative names could be used to refer to him in historical discussions.