Their marriage is the subject of a new article in the French outlet Voici, which claims Millepied had an extramarital affair. A source tells PEOPLE, “It was short-lived and it is over.”
Portman, 41, and director/choreographer Millepied, 45, who met on set of the 2010 movie Black Swan, remain together despite his “enormous mistake,” a source close to the couple tells PEOPLE.
“He knows he made an enormous mistake and he is doing all he can to get Natalie to forgive him and keep their family together,” says the source. “Natalie is incredibly private and has no intention of playing this out in the media. Her biggest priority is protecting her children and their privacy.”
Reps for Portman and Millepied had no immediate comment.
Portman and Millepied share two kids: son Aleph, 12 this month, and daughter Amalia, 6.