On October 27, Louisiana held a televised U.S. Senate debate in which six candidates participated. See this story. The debate sponsors invited each political party nominee, and also invited anyone who had either held elected office recently, or who had raised or spent $50,000. That enable two of the independent candidates to be invited. Participating were Republican incumbent David Vitter, Democrat Charlie Melancon, Libertarian Randall Hayes, Reform Party nominee William McShan, and independent candidates Mike Spears and Ernest Wooton.
Anyone can watch the debate using this link, which is at the TV station’s web page, wdsu.com.

http://www.lp.org/blogs/staff/libertarian-candidate-randall-hayes-in-televised-debate