Alt-J premiere 'Something Good' music video
The clip - which appears below - shows a violent bullfighting scene played out in slow motion.
The track marks the fourth release from the indie quartet's debut album An Awesome Wave, which entered the charts at number 19 in May this year.
The record is one of the bookies' early favourites to pick up this year's Barclaycard Mercury Prize alongside Richard Hawley and Plan B, with odds of 5/1 to win the award.
Discussing their nomination, Gus Unger-Hamilton said: "It's incredible to be nominated. To be in there with 11 great other artists is just a really nice feeling. May the best artist win."
Other acts nominated for this year's Mercury include Jessie Ware, Lianne La Havas, Django Django and Ben Howard.