New work from hot downtown troupes Elevator Repair Service, the Debate Society and Nature Theater of Oklahoma are on tap for the Public Theater’s annual Under the Radar festival.ERS had a hit at the Public in recent seasons with “Gatz,” the marathon adaptation of “The Great Gatsby” that was popular enough to warrant a return engagement at the venue. New piece, “Arguendo (Work in Progress),” centers on a 1991 Supreme Court case that decided whether go-go dancing naked is art or a criminal offense. “Gatz” helmer John Collins directs. The latest from the Debate Society (“Buddy Cop 2″) is a return run of “Blood Play,” the 1950s thriller that attracted notice in a recent run at Brooklyn’s Bushwick Star. Nature Theater of Oklahoma’s epic “Life and Times: Episodes 1-4″ lands at the Public in a co-production with Soho Rep. Also on the festival roster are shows by Australia’s Back to Back Theater (“Ganesh Versus the Third Reich”), Belarus Free Theater (“Minsk 2011: A Reply to Kathy Acker”), Taylor Mac (“A 20th Century Abridged Concert of the History of Popular Music”) and Pig Iron Theater Company (“Zero Cost House”). Led by fest director Mark Russell, the annual fest of international work runs at the Public Jan. 9-20.