Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-08-05 , DOI: 10.1016/j.nuclphysb.2020.115138 George Georgiou , Georgios P. D. Pappas , Konstantinos Sfetsos
We construct a generalization of the cyclic λ-deformed models of [10] 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 . 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 values obtained from the C-function.
中文翻译:
RG流动的IR固定点处出现不对称CFT
通过放宽所有WZW模型应具有相同水平k的要求,我们构造了[10]的循环λ变形模型的推广。我们的理论是可集成的,并且根据WZW级别的不同顺序从单个UV点流向不同的IR固定点。首先,我们计算这些模型的Zamolodchikov C函数作为变形参数的精确函数。随后,我们全面描述了每个IR共形场理论。尽管对应的左,右扇区具有不同的对称性,实现为当前对称性和陪集型对称性的乘积,但与从C函数获得的值一致,关联的中心电荷精确相等。