A Superunitary Fock Model of the Exceptional Lie Supergroup $$\mathbb {D}$$(2, 1; $$\alpha $$)

Abstract We construct a Fock model of the minimal representation exceptional Lie supergroup $${\mathbb {D}}(2,1; \alpha )$$ D ( 2 , 1 ; α ) . Explicit expressions for action are given by integrating to group level superalgebra $$D(2,1; constructed earlier authors. It is also shown that superunitary in sense de Goursac–Michel.