Natalie Portman is attached to star in Darren Aronofsky's supernatural Black Swan

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Dec 14, 2012, 3:54 PM EST

Natalie Portman is attached to Darren Aronofsky's Black Swan, a supernatural thriller set in the world of New York City ballet, according to The Hollywood Reporter.

The movie was once at Universal Pictures but was put into turnaround and is now making the rounds at other studios, several of which have expressed interest, the trade paper reported.

Several other changes have occurred since the movie was first developed by Universal.

Mark Heyman, a development executive at Aronofsky's Protozoa Pictures, has done a rewrite of John McLaughlin's original script.

Swan centers on a veteran ballerina (Portman) who finds herself locked in a competitive situation with a rival dancer, with the stakes and twists increasing as the dancers approach a big performance. But it's unclear whether the rival is a supernatural apparition or the protagonist is simply having delusions.

If a sale happens imminently, Swan could begin shooting as early as this year, the trade paper reported. Aronofsky has not committed to a movie that's ready to go, though he has been developing the RoboCop reboot at MGM.