93 citations · 766 across the 42 of their papers we have counts for
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The supersymmetric Ruijsenaars-Schneider model
Olivier Blondeau-Fournier, Patrick Desrosiers, Pierre Mathieu
An integrable supersymmetric generalization of the trigonometric Ruijsenaars-Schneider model is presented whose symmetry algebra includes the super Poincaré algebra. Moreover, its…
Ramond singular vectors and Jack superpolynomials
L. Alarie-Vezina, P. Desrosiers, P. Mathieu
The explicit formula for the superconformal singular vectors in the Neveu-Schwarz sector has been obtained recently, via its symmetric polynomial representation, as a sum of Jack s…
Super-Whittaker vector at c=3/2
P. Desrosiers, L. Lapointe, P. Mathieu
The degenerate Whittaker vector of the superconformal algebra can be represented in terms of Jack superpolynomials. However, in this representation the norm of the Whittaker vector…
Superconformal field theory and Jack superpolynomials
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
We uncover a deep connection between the superconformal field theory in 2D and eigenfunctions of the supersymmetric Sutherland model known as Jack superpolynomials…
Jack superpolynomials: physical and combinatorial definitions
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
Jack superpolynomials are eigenfunctions of the supersymmetric extension of the quantum trigonometric Calogero-Moser-Sutherland. They are orthogonal with respect to the scalar prod…
Explicit formulas for the generalized Hermite polynomials in superspace
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
We provide explicit formulas for the orthogonal eigenfunctions of the supersymmetric extension of the rational Calogero-Moser-Sutherland model with harmonic confinement, i.e., the…