We consider conformal field theories around points of large twist degeneracy. Examples of this are theories with weakly broken higher spin symmetry and perturbations around generalized free fields. At the degenerate point we introduce twist conformal blocks. These are eigenfunctions of certain quartic operators and encode the contribution, to a given four-point correlator, of the whole tower of intermediate operators with a given twist. As we perturb around the degenerate point, the twist degeneracy is lifted. In many situations this breaking is controlled by inverse powers of the spin. In such cases the twist conformal blocks can be decomposed into a sequence of functions which we systematically construct. Decomposing the four-point correlator in this basis turns crossing symmetry into an algebraic problem. Our method can be applied to a wide spectrum of conformal field theories in any number of dimensions and at any order in the breaking parameter. As an example, we compute the spectrum of various theories around generalized free fields.

中文翻译：

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共形场理论的大自旋摄动理论

我们考虑围绕大扭转简并点的共形场理论。这样的例子是具有弱破坏的高自旋对称性和围绕广义自由场的扰动的理论。在退化点，我们引入扭曲共形块。这些是某些四次算子的本征函数，并编码给定四点相关器对具有给定扭曲的中间算子整个塔的贡献。当我们在简并点附近扰动时，扭曲简并度就升高了。在许多情况下，这种破坏是通过自旋的反幂来控制的。在这种情况下，扭曲共形块可以分解为我们系统构建的一系列功能。在此基础上分解四点相关器会将交叉对称变成代数问题。我们的方法可以应用于各种尺寸的保形场理论，无论其尺寸大小如何，断裂参数的顺序如何。例如，我们计算围绕广义自由场的各种理论的频谱。