They privately tied the knot in New York

After a short, quiet courtship, Daniel Craig and Rachel Weisz have pulled off a near-impossibility in Hollywood: A secret wedding!

A rep for Weisz confirms to PEOPLE that the actress has wed the James Bond actor.

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As the Daily Mail first reported, the couple married in front of just four people in New York last Wednesday.

The lucky guests? Daniel’s daughter Ella, 18, and Weisz’s son Henry, 4, and two friends, the Mail reports.

First linked last fall, Weisz, 41, and Craig, 43, spent Christmas together in the U.K.

The real-life newlyweds play husband and wife in the upcoming Dream House, due in theaters this fall. Weisz can be seen next in The Whistleblower, a thriller opening August 5.