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arXiv 0801.2661hep-th
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广义MacMahon G（q）作为q-变形的CFT关联函数

Generalized MacMahon G(q) as q-deformed CFT Correlation Function

Lalla Btissam Drissi, Houda Jehjouh, El Hassan Saidi

备注：
35 pages, Appendix B shortened, references updated, To appear in NPB
发表信息：
Nucl.Phys.B801:316-345,2008
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摘要：

利用二维共形场论中的$Γ_{\pm}(z) $顶点算符，给出了d维MacMahon函数G $_{d}(q) $的二维量子场论推导.我们把这个函数$_{d}(q) $解释为某些局部顶点算子$\mathcal{O}%_{j}(z_{j}) $的$(d+1) $ -点关联函数$\mathcal{G}_{d+1}(z_{0},...,z_{d}) $.我们确定这些运营商，并表明，他们是特殊的复合材料的q-变形的层次顶点运营商$% Γ_{\pm}^{(p)}$，与一个正整数p。在协议与文献的结果，我们发现，G $_{d}(q) $，$d\geq 4$，不能生成功能的所有\textit{d- dimensional}广义Young图。

英文摘要：

Using $Γ_{\pm}(z) $ vertex operators of the $c=1$ two dimensional conformal field theory, we give a 2d-quantum field theoretical derivation of the conjectured d- dimensional MacMahon function G$_{d}(q) $. We interpret this function G$_{d}(q) $ as a $(d+1) $- point correlation function $\mathcal{G}_{d+1}(z_{0},...,z_{d}) $ of some local vertex operators $\mathcal{O}%_{j}(z_{j}) $. We determine these operators and show that they are particular composites of q-deformed hierarchical vertex operators $% Γ_{\pm}^{(p)}$, with a positive integer p. In agreement with literature's results, we find that G$_{d}(q) $, $d\geq 4$, cannot be the generating functional of all \textit{d- dimensional} generalized Young diagrams .

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