It seemed to be a coup for Theater for a New Audience: Its first summer Shakespeare production would be “Hamlet,” with the much-lauded Tony-winning director Sam Gold at the helm, and the rising Hollywood star Oscar Isaac in the title role.

The play, announced in April and scheduled to open next June at the Polonsky Shakespeare Center in Brooklyn, had been in the works since 2014. Tickets were sold to subscribers, and a creative team was assembled.

But the production has fallen apart.

Last month Mr. Gold, citing insurmountable artistic differences, backed out and took the play — and Mr. Isaac — to the Public Theater, which is in talks to add the production to its 2016-17 season. Theater for a New Audience canceled its “Hamlet.”

The production’s move from one nonprofit theater to another is unusual. Even more of an anomaly is the response of Jeffrey Horowitz, Theater for a New Audience’s artistic director, who has decided to go public with the details of what happened.