Orthogonality of super-Jack polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland operators

Farrokh Atai, Martin Hallnäs, Edwin Langmann

We prove orthogonality and compute explicitly the (quadratic) norms for super-Jack polynomials $S{P}_{\lambda }((z_1,\dots ,z_n),(w_1,\dots ,w_m);\theta )$ with respect to a natural positive semi-d…