The White Stripes say the Air Force Reserve made unauthorized use of their song “Fell in Love With a Girl” during an ad that ran in certain markets during Sunday’s American football championship Super Bowl telecast.

The White Stripes and their label, Third Man Records, said on the band’s Web site that the song was re-recorded and usedwithout permission.

The two-person rock band originally from Detroit says it takes “strong insult” to the ad and says it implies the White Stripes “encourage recruitment during a war that we do not support.”

The Air Force Reserve said in a statement that the music in the ad was original, and it never intended to use any existing music or “to sound like any music by the band White Stripes.”