The play, which is called The Hard Problem, is to be directed by the National's outgoing artistic director, Nicholas Hytner, and will feature Olivia Vinall, Jonathan Coy, Vera Chok, Damien Molony, Lucy Robinson and Parth Thakerar.
It will be staged in the Dorfman Theatre (formerly the Cottesloe), where it will follow the current run of Here Lies Love that runs through Jan. 8, 2015.
The previously announced Ralph Fiennes will be joined in Shaw's Man and Superman by Indira Varma; the production will open at the National's Lyttelton Theatre in February.
Further details and full dates for both are to be announced shortly.
