Director-choreographer Kate Adams-Johnson and musical director Ginger Newman have successfully teamed up for a growing number of ambitious shows at Larry Keeton Theatre, including 2010’s Swing! Their latest collaboration celebrates the music and style of the 1930s and ’40s, with two-acts’ worth of jazz, blues, bebop and standards that revolve around broad themes such as the Great Depression, World War II and the postwar boom. The contributing songwriters here are legendary — Hoagy Carmichael, Frank Loesser, Duke Ellington, Johnny Mercer, the Gershwins, etc. — with some of the specific numbers including classics like “I’ll Be Seeing You,” “Brother Can You Spare a Dime,” “In the Mood” and “Minnie the Moocher.” The show’s singers are double-cast. Stephanie Jones Benton, Melissa Stilengo, Chad Webb and Antonio Nappo are among the vocalists, and two dancers relate the stories of the music through movement.