M(k+1,2k+3)模型的新路径描述和对偶Z_k分次仿费米子
New path description for the M(k+1,2k+3) models and the dual Z_k graded parafermions
摘要:
本文给出了非么正M(k+1,2k+3)模型态的一种新的路径描述.这种描述不同于由Forrester-Baxter解决方案引起的,在配置和方面,他们的限制固体上固体模型。所提出的路径表示实际上非常类似于酉极小模型M(k+1,k+2)的基本表示,具有类似的费米气体解释。这种解释导致有限化M(k+1,2k+3)字符的费米子表达式,其无限长的限制代表新的费米子字符的不可约模。M(k+1,2k+3)模型也通过一个(q到1/q)对偶变换与Z_k分次仿费米子相联系。
英文摘要:
We present a new path description for the states of the non-unitary M(k+1,2k+3) models. This description differs from the one induced by the Forrester-Baxter solution, in terms of configuration sums, of their restricted-solid-on-solid model. The proposed path representation is actually very similar to the one underlying the unitary minimal models M(k+1,k+2), with an analogous Fermi-gas interpretation. This interpretation leads to fermionic expressions for the finitized M(k+1,2k+3) characters, whose infinite-length limit represent new fermionic characters for the irreducible modules. The M(k+1,2k+3) models are also shown to be related to the Z_k graded parafermions via a (q to 1/q) duality transformation.
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