  Jack superpolynomials are eigenfunctions of the supersymmetric extension of
the quantum trigonometric Calogero-Moser-Sutherland. They are orthogonal with
respect to the scalar product, dubbed physical, that is naturally induced by
this quantum-mechanical problem. But Jack superpolynomials can also be defined
more combinatorially, starting from the multiplicative bases of symmetric
superpolynomials, enforcing orthogonality with respect to a one-parameter
deformation of the combinatorial scalar product. Both constructions turns out
to be equivalent. This provides strong support for the correctness of the
various underlying constructions and for the pivotal role of Jack
superpolynomials in the theory of symmetric superpolynomials.
