145 citations · 1.2k across the 85 of their papers we have counts for
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Superconformal minimal models and admissible Jack polynomials
Olivier Blondeau-Fournier, Pierre Mathieu, David Ridout +1
We give new proofs of the rationality of the N=1 superconformal minimal model vertex operator superalgebras and of the classification of their modules in both the Neveu-Schwarz and…
From Jack to Double Jack Polynomials via the Supersymmetric Bridge
Luc Lapointe, Pierre Mathieu
The Calogero-Sutherland model occurs in a large number of physical contexts, either directly or via its eigenfunctions, the Jack polynomials. The supersymmetric counterpart of this…
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…
Path representation of su(2)_k states II: Operator construction of the fermionic character and spin-1/2--RSOS factorization
Joël Lamy-Poirier, Pierre Mathieu
This is the second of two articles (independent of each other) devoted to the analysis of the path description of the states in su(2)_k WZW models. Here we present a constructive d…