论文标题
$λ$ - 定型的coset cft的免费场景
A free field perspective of $λ$-deformed coset CFT's
论文作者
论文摘要
我们通过在cosets的自由野外点附近设置$ 1/k $扰动扩展，继续研究$λ$ - 定型的$σ$ - 模型，尤其是$λ$ -Deformed $ su（2）/u（1）$ coset cft。我们构建了一个相互作用的场理论，其中所有变形效应在相互作用顶点中明显编码。使用此功能，我们重现已知的$β$功能和复合算子的异常尺寸，这些算子扰乱了整形点。我们介绍了$λ$的parafermions，在其表达中具有必不可少的威尔逊阶段。随后，我们计算它们的异常尺寸及其四点功能，如变形的确切功能，并在$ K $扩展中领先顺序。这些副作用的奇数函数如在保形情况下消失了。
We continue our study of $λ$-deformed $σ$-models by setting up a $1/k$ perturbative expansion around the free field point for cosets, in particular for the $λ$-deformed $SU(2)/U(1)$ coset CFT. We construct an interacting field theory in which all deformation effects are manifestly encoded in the interaction vertices. Using this we reproduce the known $β$-function and the anomalous dimension of the composite operator perturbing away from the conformal point. We introduce the $λ$-dressed parafermions which have an essential Wilson-like phase in their expressions. Subsequently, we compute their anomalous dimension, as well as their four-point functions, as exact functions of the deformation and to leading order in the $k$ expansion. Correlation functions with an odd number of these parafermions vanish as in the conformal case.
