Playwright and actor Tracy Letts is writing a new play -- "The play nobody will like," he calls it -- but he doesn't have much time to work on it these days.

Letts arrived in New York last week from Chicago to begin rehearsals for the Broadway production of Edward Albee's "Who's Afraid of Virginia Woolf?" which begins previews Thursday and opens Oct. 13 -- 50 years to the day from the play's original Broadway opening. It's Letts's Broadway debut as an actor, though he already has a Tony Award and a Pulitzer Prize for his 2007...