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It was recently demonstrated that N=1,2,3,4 super-Schwarzian derivatives canbe constructed by applying the method of nonlinear realisations tofinite-dimensional superconformal groups OSp(1|2), SU(1,1|1), OSp(3|2),SU(1,1|2), respectively, thus avoiding the use of superconformal field theorytechniques. In this work, a similar construction is applied to the exceptionalsupergroup D(2,1;a), which describes the most general N=4 supersymmetricextension of SL(2,R), with the aim to study possible candidates for a D(2,1;a)super-Schwarzian derivative.

Remarks on D(2,1;a) super-Schwarzian derivative