04/21/2004 at 01:00 AM EDT
Reports are circulating on both sides of the Atlantic that "Clueless" star Alicia Silverstone, 23, and "Hamlet" actor-director Kenneth Branagh, 40, became romantically involved with the latest of his leading ladies during the filming of his latest Shakespearean project, "Love's Labour Lost." Branagh, who has a history of becoming involved with his leading ladies, was married to Oscar-winner Emma Thompson. He recently broke up with Helena Bonham-Carter. Silverstone's rep denied reports of the new romance to the New York Post.