Abstract
Benoit Estienne (University of Amsterdam, the Netherlands)
Relating Jack wavefunctions to WAk-1 theories
The (k,r) admissible Jack polynomials, recently proposed as many-body wavefunctions for non-Abelian fractional quantum Hall systems, have been conjectured to be related to some correlation functions of the minimal model WAk-1(k+1,k+r)$ of the WAk-1 algebra. By studying the degenerate representations of this conformal field theory, we provide a proof for this conjecture.