While some critics found the musical’s ambitious scale appealing, others thought the story was weighed down by too many characters and themes. “Awkward, yearning, fast on its feet, the show, like the adolescents it describes, is still trying on various identities,” Alexis Soloski wrote in a review for The New York Times, though she praised the “effortless yet thoughtfully diversified” casting of the Greasers, who, like the Socs, are white and male in both the book and the movie, as well as the “gorgeous, mournful music.” (The songs are by Jonathan Clay and Zach Chance, of Jamestown Revival, as well as Justin Levine, who won a Tony Award for his orchestrations for “Moulin Rouge! The Musical.”)

Danya Taymor (“Heroes of the Fourth Turning,” “Pass Over”), who directed the La Jolla production, will return for the Broadway run, as will the rest of the creative team. The book is by Adam Rapp (“The Sound Inside”) and Levine, who also handled the arrangements…