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arXiv · 0906.1969

Relating Jack wavefunctions to WA_{k-1} theories

Benoit Estienne·Raoul Santachiara
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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.

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Benoit Estienne, Raoul Santachiara. 2009-11-26. Relating Jack wavefunctions to WA_{k-1} theories. https://doi.org/10.1088/1751-8113%2F42%2F44%2F445209

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