Carpenter will temporarily replace Will Swenson in the role.
The Book of Mormon, The Scottsboro Boys, and Once are all up for the coveted Best New Musical honor.
The new production begins previews March 1 at the Imperial Theatre.
Meet the lovely ladies, factory workers, drunks, and soldiers who will appear in the musical at the Imperial Theatre.
The cast also includes the previously announced Ramin Karimloo, Will Swenson, Caissie Levy, and Nikki M. James.