论文标题
RCFT II中的对称性增强
Symmetry enhancement in RCFT II
论文作者
论文摘要
我们解释了何时以及为何对称性在费米子有理综合场理论中增强。为了实现目标，我们首先在重新归一化组流下阐明不变性。特别是，我们发现OcneAnu刚度不足以保护一些数量。具体而言，尽管（双）编织符合刚性的约束，但它们以共形固定点的速度跳跃。跳跃以特定的方式发生，因此双重编织关系进一步限制了重新归一化组流。新约束使我们三件事； 1）预测无质量流中的红外形成尺寸，2）揭示理论空间的某些结构，以及3）获得无质量流动的必要条件。我们还发现缩放尺寸``单调性地''沿无质量流量减小。将发现与预测相结合，有时我们可以唯一地固定红外形式的尺寸。
We explain when and why symmetries enhance in fermionic rational conformal field theories. In order to achieve the goal, we first clarify invariants under renormalization group flows. In particular, we find the Ocneanu rigidity is not enough to protect some quantities. Concretely, while (double) braidings are subject to the rigidity, they jump at conformal fixed points. The jump happens in a specific way, so the double braiding relation further constrains renormalization group flows. The new constraints enable us three things; 1) to predict infrared conformal dimensions in massless flow, 2) to reveal some structures of the theory space, and 3) to obtain a necessary condition for a flow to be massless. We also find scaling dimensions ``monotonically'' decrease along massless flows. Combining the discovery with predictions, sometimes, we can uniquely fix infrared conformal dimensions.
