  The N=1 and N=2 super-Schwarzian derivatives were originally introduced by
physicists when computing a finite superconformal transformation of the super
stress-energy tensor underlying a superconformal field theory. Mathematicians
like to think of them as the cocycles describing central extensions of Lie
superalgebras. In this work, a third possibility is discussed which consists in
applying the method of nonlinear realizations to osp(1|2) and su(1,1|1)
superconformal algebras. It is demonstrated that the super-Schwarzians arise
quite naturally, if one decides to keep the number of independent Goldstone
superfields to a minimum.

High Energy Physics - Theory