We give a quantum deformation of the chiral super Minkowski space in four dimensions as the big cell inside a quantum super Grassmannian. The quantization is performed in such way that the actions of the Poincar´e and conformal quantum supergroups on the quantum Minkowski and quantum conformal superspaces are preserved.
"The quantum chiral Minkowski and conformal superspaces." Adv. Theor. Math. Phys. 15 (2) 565 - 620, April 2011.