New type of N=4 supersymmetric quantum mechanics

We overview a new type of supersymmetric quantum mechanics models based on the worldline realizations of the supergroup SU(2 vertical bar 1). Our main focus is on the models associated with the chiral multiplets (2,4,2). Considering two non-equivalent deformations of the standard N = 4, d = 1 superspace, we define the relevant chiral superfields and construct their SU(2 vertical bar 1) invariant actions. We give off- and on-shell descriptions of these models and perform their quantization. The basic peculiarities of such models and interrelations between them are briefly discussed.