First a double-album rock opera by the Who, then a film with Sting, “Quadrophenia” is now a ballet, too. It’s still a tale of tortured youth in the nineteen-sixties—mods versus rockers—with a sensitive antihero whose personality is split four ways. But, in this British production, Pete Townshend’s music comes in a posh arrangement for orchestra, and the story is told using versatile choreography by Paul Roberts, best known for his work with One Direction and Harry Styles. Directed by Rob Ashford, the veteran of many musicals on Broadway and the West End, the show is slick, dressed in Paul Smith fashions and drenched in projections to suggest a rain of love.—Brian Seibert (New York City Center; Nov. 14-16.)Off Broadway