arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0802.4298hep-thmath-phmath.MP
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M(k+1,k+2)和M(k+1,2k+3)极小模型路径表示的非局部算子基

Nonlocal operator basis from the path representation of the M(k+1,k+2) and the M(k+1,2k+3) minimal models

P. Jacob, P. Mathieu

摘要:

我们用作用于不可约模基态路径上的一串带电算符来重新解释酉极小模型M(k+1,k+2)中描述一个状态的路径,每个带电算符非局部地作用于一条路径上,然后将路径特征转化为一组关于算符序列的条件,这些条件提供了算符基础.作为应用,我们通过构造这些基态的生成函数,重新推导了真空有限费米子特征。这些结果直接推广到M(k+1,2k+3)模型,在路径描述方面的酉模型的近亲。

英文摘要:

We reinterpret a path describing a state in an irreducible module of the unitary minimal model M(k+1,k+2) in terms of a string of charged operators acting on the module's ground-state path. Each such operator acts non-locally on a path. The path characteristics are then translated into a set of conditions on sequences of operators that provide an operator basis. As an application, we re-derive the vacuum finite fermionic character by constructing the generating function of these basis states. These results generalize directly to the M(k+1,2k+3) models, the close relatives of the unitary models in terms of path description.

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