When the curtain rises, professionally trained Eastern Connecticut Ballet dancers and guest artists Unity Phelan and Indiana Woodward of New York City Ballet share the spotlight in this nautical-themed live performance of “The Nutcracker.” Set in New London in the 1850s, the scenery celebrates southeastern Connecticut’s seafaring past and transforms the stage into a wintry day in the whaling city. Stage sets display tall ships in port, the New London Custom House, Whale Oil Row, lighthouses, and a sea captain’s Victorian home.