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超对称Polychronakos自旋链:模、分布函数和性质

Supersymmetric Polychronakos Spin Chain: Motif, Distribution Function, and Character

Kazuhiro Hikami, B. Basu-Mallick

摘要:

利用“模体”研究了su($m|n$)超对称Polychronakos自旋链的简并谱和超多重态结构.利用与$N$自旋链配分函数密切相关的超对称Rogers-Szeg{<$}多项式的递推关系,给出了模体的超对称斜Young图表示.我们还研究了准粒子的分布函数。简要讨论了$N\to \infty$的特征公式。

英文摘要:

Degeneracy patterns and hyper-multiplet structure in the spectrum of the su($m|n$) supersymmetric Polychronakos spin chain are studied by use of the "motif''. Using the recursion relation of the supersymmetric Rogers-Szeg{ö} polynomials which are closely related to the partition function of the $N$ spin chain, we give the representation for motif in terms of the supersymmetric skew Young diagrams. We also study the distribution function for quasi-particles. The character formulae for $N\to \infty$ are briefly discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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