The Tennessee Secretary of State’s website has this list of presidential candidates who filed petitions. The only qualified parties in Tennessee are the Republican and Democratic Parties, so all others must use the independent presidential procedure, which requires 275 signatures.
Three independent petitions have already been approved: those for the Libertarian, Alliance, and Socialist Workers Party presidential nominees.
Still under review are petitions for the nominees of the Constitution, Green, Prohibition, Socialism & Liberation, and Unity Parties. Also under review are the petitions for three independent candidates: Brock Pierce, Horace Taylor, and Kanye West.