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arXiv 1812.04033hep-thnlin.SI
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最一般的$λ$ --CFTs的变形和可积性

The most general $λ$-deformation of CFTs and integrability

George Georgiou, Konstantinos Sfetsos

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27 pages
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摘要：

我们表明，CFT与对称群$G_{k_1}\times G_{k_2}\times \cdots \times G_{k_n}$组成的WZW模型基于同一组$G$，但在任意整数水平，承认可积变形依赖于$2(n-1)$连续参数。我们导出了变形理论的全圈有效作用量，并证明了可积性。我们还计算了精确的变形参数RG流动方程，可以把在一个特别简单的紧凑的形式。这允许RG流的固定点的完全确定和分类，特别是IR稳定的那些。正在考虑的模型提供了具体的实现CFTs之间的可积流。我们还考虑了非阿贝尔T-对偶型极限。

英文摘要：

We show that the CFT with symmetry group $G_{k_1}\times G_{k_2}\times \cdots \times G_{k_n}$ consisting of WZW models based on the same group $G$, but at arbitrary integer levels, admits an integrable deformation depending on $2(n-1)$ continuous parameters. We derive the all-loop effective action of the deformed theory and prove integrability. We also calculate the exact in the deformation parameters RG flow equations which can be put in a particularly simple compact form. This allows a full determination and classification of the fixed points of the RG flow, in particular those that are IR stable. The models under consideration provide concrete realizations of integrable flows between CFTs. We also consider non-Abelian T-duality type limits.

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