This talk is concerned with the existence of a Dixmier map for nilpotent super Lie algebras and its applications to the representation theory of super Yang-Mills algebras. More precisely, we shall state results concerning the Kirillov orbit method a la Dixmier for nilpotent super Lie algebras, i.e. that the usual Dixmier map for nilpotent Lie algebras can be naturally extended to the context of nilpotent super Lie algebras. Moreover, our construction of the previous map is explicit, and more or less parallel to the one for Lie algebras, a major difference with a previous approach. One key fact in the construction is the existence of polarizations for (solvable) super Lie algebras, generalizing the concept in the nonsuper case. As a corollary of the previous description, we obtain that the quotient of the enveloping algebra of a nilpotent super Lie algebra by a maximal ideal is isomorphic to the tensor product of a Clifford algebra and a Weyl algebra, and we determine explicitely the indices of both of them, we get a direct construction of the maximal ideals of the underlying algebra of enveloping algebra and also some properties of the stabilizers of the primitive ideals. All of these results can be used to study the representation theory of super algebras related to the super Yang-Mills theory of interest in physics.