You can learn more at http://www.lp.org, the home page of the LibertarianParty? of the UnitedStates.
Also note that libertarianism is not strictly a right wing ideology; formal anarchism is apparently referred to as Libertarian Socialism.
A libertarian is even likely to reject the legitimacy of the right/left dichotomy. The conflict between right and left is seen to be, in essence, a dispute over the particular form in which the state will violate individual rights.