Relating Jack wavefunctions to WA_{k-1} theories
High Energy Physics - Theory
2015-05-13 v2 Strongly Correlated Electrons
Abstract
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 WA_{k-1}(k+1,k+r) of the WA_{k-1} algebra. By studying the degenerate representations of the WA_{k-1}(k+1,k+r) theory, we provide a proof for this conjecture.
Cite
@article{arxiv.0906.1969,
title = {Relating Jack wavefunctions to WA_{k-1} theories},
author = {Benoit Estienne and Raoul Santachiara},
journal= {arXiv preprint arXiv:0906.1969},
year = {2015}
}
Comments
13 pages. Published version