According to the classical definition,
A super acid is an acid with an acidity greater than that of 100% pure sulfuric acid, which has a Hammett acidity function (H0) of −12. According to the modern definition, a superacid is a medium in which the chemical potential of the proton is higher than in pure sulfuric acid.
A super base is an extremely basic compound that has a high affinity for protons. Don't know too much besides their definition but hopefully, this cleared up some things!