Heard about that little website founded in a Harvard dorm room that soon made status updates, friend requests, and stamping "Like" on comments a daily part of modern life? 'The Accidental Billionaires,' Ben Mezrich's controversial book about the founding of Facebook, has been adapted into an already controversial movie, out this fall: 'The Social Network,' written by Aaron Sorkin, directed by David Fincher ('Fight Club'), and starring Jesse Eisenberg as Facebook CEO Mark Zuckerberg. Now, a new report exposes the back-channel diplomacy between Facebook and producers of 'The Social Network,' and the desire of execs at the hugely popular website to ignore the movie when it opens Oct. 1. But can they?