Irregular conformal block and its matrix model
Irregular conformal block and its matrix model
复制标题
不规则共形块及其矩阵模型
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
C. Rim
中科院分区：
文献类型：
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作者：
C. Rim
不规则共形块是研究Argyres-Douglas理论的一种新工具，它的不规则向量表示为一组正Virasoro生成元的同时本征态。找到不规则共形块的一种方法是使用厄米特矩阵模型的β系综的配分函数。到目前为止，该方法仅限于偶次不规则奇异性的情况。在这篇文章中，我们提出了一个新的矩阵模型的奇数度的情况下，并计算其配分函数。该模型与前一模型的不同之处在于其势函数中增加了矩阵平方根因子。
Irregular conformal block is a new tool to study Argyres-Douglas theory, whose irregular vector is represented as a simultaneous eigenstate of a set of positive Virasoro generators. One way to find the irregular conformal block is to use the partition function of the \beta-ensemble of hermitian matrix model. So far the method is limited to the case of irregular singularity of even degree. In this letter, we present a new matrix model for the case of odd degree and calculate its partition function. The model is different from the previous one in that its potential has additional factor of square root of matrix.