Relating Jack wavefunctions to WA_{k-1} theories

Details Relating Jack wavefunctions to WA_{k-1} theories Relating Jack wavefunctions to WA_{k-1} theories

2009-06-10

arxiv.org/abs/0906.1969v2

J. Phys. A: Math. Theor. 42 No 44 (6 November 2009) 445209

Physics

High Energy Physics

High Energy Physics - Theory

13 pages. Published version

Scientific paper

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.

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