Tony winner Idina Menzel, who is also a 2014 Tony nominee, will guest on the May 8 broadcast of the long-running chat show. She will also be joined by cast members from If/Then to perform a number from the new musical. A detailed list of guests follows:

May 5 Actress Shailene Woodley; Denver Broncos quarterback Peyton Manning
May 6 Actor Jon Cryer from the CBS comedy series “Two and a Half Men”; actress Elizabeth Olsen; musical guests Foster the People
May 7 Singer Mariah Carey; reality television star Rick Harrison
May 8 Actor James Franco; singer Idina Menzel; a performance from the Broadway musical If/Then
May 9 Actor Nathan Fillion; comedian Tom Dreesen; musical guest Hunter Hayes
May 12 Actor Harry Connick Jr.; actor Jesse Eisenberg
May 13 Actor Jim Parsons from the CBS comedy series “The Big Bang Theory”; Julie Chen, co-host of the CBS daytime talk show “The Talk”; musical guests Hozier
May 14 Talk-show host Barbara Walters; actress Elle Fanning; musical guest Randy Houser
May 15 Actor Adam Sandler
May 16 Actress Lea Michele; comedian Andy Kindler; musical guest Chromeo
May 19 Animal expert Jack Hanna; musical guests Stephen Malkmus and the Jicks

"David Letterman" airs weeknights at 11:35 PM ET.