D-级数极小模型的非有理极限
The non-rational limit of D-series minimal models
摘要：
研究了中心荷趋于一般无理值$c\in (-\infty, 1)$时D-级数极小模型的极限.我们发现极限理论的对角三点结构常数与Liouville理论的对角三点结构常数相差一个分布因子，该分布因子由发散的Verlinde公式给出。然而，涉及非对角场和对角场的关联函数是对角场共形维数的光滑函数。极限理论是一个非对角的、非有理的、已求解的二维共形场论的非平凡例子。
英文摘要：
We study the limit of D-series minimal models when the central charge tends to a generic irrational value $c\in (-\infty, 1)$. We find that the limit theory's diagonal three-point structure constant differs from that of Liouville theory by a distribution factor, which is given by a divergent Verlinde formula. Nevertheless, correlation functions that involve both non-diagonal and diagonal fields are smooth functions of the diagonal fields' conformal dimensions. The limit theory is a non-trivial example of a non-diagonal, non-rational, solved two-dimensional conformal field theory.
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