A superunitary fock model of the exceptional Lie supergroup D(2, 1; α) Universiteit Gent
We construct a Fock model of the minimal representation of the exceptional Lie supergroup D(2, 1; a). Explicit expressions for the action are given by integrating to group level a Fock model of the Lie superalgebra D(2, 1; a) constructed earlier by the authors. It is also shown that the representation is superunitary in the sense of de Goursac-Michel.