The theatre impresario's Phantom of the Opera sequel has received nods in the Best New Musical category, as well as musical acting nominations for the show's stars Ramin Karimloo, Sierra Boggess and Summer Strallen, despite mixed reviews from critics.
Acting veteran Sir Derek Jacobi is up for the Best Actor prize for his acclaimed turn in King Lear, and will compete for the honour against David Suchet (All My Sons), Mark Ryland (La Bete), Roger Alam (Henry VI) and Rory Kinnear (Hamlet).
Emma Thompson's sister Sophie is up for Best Actress for Clybourne Park alongside Episodes star Tamsin Greig for The Little Dog Laughed, Tracie Bennett for End of the Rainbow and Nancy Carroll for After The Dance.
Clybourne Park, The Little Dog Laughed, Sucker Punch, Tribes and End of the Rainbow will compete for the Best New Play honour.
The awards, which celebrate the best of the year's West End shows, will take place at London's Theatre Royal Drury Lane on 13 March (11).