John Doyle will direct the new production.
The Tony-winning revival is directed by Diane Paulus.
The Tony winner for Children of a Lesser God steps into the role of King Charlemagne.
The Tony winner will fill the role of Charles while Terrence Mann takes a leave of absence.
The new musical, based on the Percy Jackson and the Olympians book series, will receive a one-night-only performance at the Lucille Lortel Theatre.