论文标题

在RG流的IR固定点出现的非对称CFT

Asymmetric CFTs arising at the IR fixed points of RG flows

论文作者

Georgiou, George, Pappas, Georgios P. D., Sfetsos, Konstantinos

论文摘要

我们通过放松所有WZW型号都应具有相同级别的$ k $的要求来构建\ cite {georgiou:2017loy}的循环$λ$形式的模型的概括。我们的理论是可集成的,并且从单个UV指向到不同的IR固定点,具体取决于WZW级别$ k_i $的不同顺序。首先,我们将这些模型的Zamolodchikov的C函数计算为变形参数的精确函数。随后,我们充分表征了每种IR共形场理论。尽管相应的左侧和右侧扇形具有不同的对称性,可以作为当前和coset型对称的产物实现,但相关的中央电荷与从C函数中符合的值完全相等。

We construct a generalization of the cyclic $λ$-deformed models of \cite{Georgiou:2017oly} by relaxing the requirement that all the WZW models should have the same level $k$. Our theories are integrable and flow from a single UV point to different IR fixed points depending on the different orderings of the WZW levels $k_i$. First we calculate the Zamolodchikov's C-function for these models as exact functions of the deformation parameters. Subsequently, we fully characterize each of the IR conformal field theories. Although the corresponding left and right sectors have different symmetries, realized as products of current and coset-type symmetries, the associated central charges are precisely equal, in agreement with the valuesobtained from the C-function.

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