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. The libertarian believes the state should not violate individual rights in any for, and so opposes the right and left equally.