The story is about a playwright ( a person who writes plays ) whose name is Barton Fink and he moves to Los Angeles to write movies . Fink is played by John Turturro .
The following year , they made Barton Fink ; set in 1941 , a New York playwright ( the eponymous Barton Fink played by John Turturro ) moves to Los Angeles to write a B-movie .