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摘要翻译：
在共形场论中，我们计算了Kac表第一列边界算子的边界算子乘积展开系数。对于C=0，我们给出了所有这些系数的闭式表达式。然后我们推广到增广极小模型，给出了当\phi_{1,2}介导固定边界条件向自由边界条件转变时有效系数的显式表达式。这些量是通过计算第一列算子的任意四点相关函数来确定的。我们的计算首先用标准的零向量方法确定合适的（非对数）共形块。然后，这些块在交叉对称下的行为提供了所需系数的一般封闭形式表达式，作为伽马函数之比的乘积。这一计算的灵感来自于临界二维渗流和增广的q=2和q=3状态临界Potts模型中某些相关函数公式中需要的几个这些系数。
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英文标题：
《First Column Boundary Operator Product Expansion Coefficients》
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作者：
Jacob J. H. Simmons and Peter Kleban
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We calculate boundary operator product expansion coefficients for boundary operators in the first column of the Kac table in conformal field theories. For c=0 we give closed form expressions for all such coefficients. Then we generalize to the augmented minimal models, giving explicit expressions for coefficients valid when \phi_{1,2} mediates a change from fixed to free boundary conditions. These quantities are determined by computing an arbitrary four-point correlation function of first column operators. Our calculation first determines the appropriate (non-logarithmic) conformal blocks by using standard null-vector methods. The behavior of these blocks under crossing symmetry then provides a general closed form expression for the desired coefficients, as a product of ratios of gamma functions. This calculation was inspired by the need for several of these coefficients in certain correlation function formulas for critical two-dimensional percolation and the augmented q=2 and q=3 state critical Potts models.
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PDF链接：
https://arxiv.org/pdf/712.3575
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