Orthogonality of Jack polynomials in superspace

Details Orthogonality of Jack polynomials in superspace Orthogonality of Jack polynomials in superspace

2005-09-19

arxiv.org/abs/math-ph/0509039v2

Physics

Mathematical Physics

22 pages, this supersedes the second part of math.CO/0412306; (v2) 24 pages, title and abstract slightly modified, minor chang

Scientific paper

Jack polynomials in superspace, orthogonal with respect to a ``combinatorial'' scalar product, are constructed. They are shown to coincide with the Jack polynomials in superspace, orthogonal with respect to an ``analytical'' scalar product, introduced in hep-th/0209074 as eigenfunctions of a supersymmetric quantum mechanical many-body problem. The results of this article rely on generalizing (to include an extra parameter) the theory of classical symmetric functions in superspace developed recently in math.CO/0509408

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