Many American Repertory Theater original cast members will also participate.
The rock musical's original Tony-nominated star Constantine Maroulis extends his stay with the production.
The American composer's life story will be dramatized at the Los Angeles theater.
The Pulitzer-winning collaborators are at work on their latest musical.
The event will also feature appearances by Danny Burstein, Raúl Esparza, Boyd Gaines, and others.
The modern Romeo and Juliet tale will head to Staten Island.
Redgrave previously performed in an adaptation of Didion's earlier memoir The Year of Magical Thinking.
The long-running musical will get a new Christine and Madame Giry.
Watch the Broadway veterans discuss their book Jack & Louisa: Act 1.
Kristin Chenoweth and Peter Gallagher will lead the cast of the revival musical.