杰克波函数与WA_{k-1}理论的关系
Relating Jack wavefunctions to WA_{k-1} theories
摘要:
最近提出的(k,r)-容许Jack多项式作为非阿贝尔分数量子Hall系统的多体波函数,证明了它与WA_{k-1}代数的极小模型WA_{k-1}(k+1,k+r)的某些关联函数有关.通过研究WA_{k-1}(k+1,k+r)理论的退化表示,我们给出了这一猜想的一个证明.
英文摘要:
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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