论文标题
可集成的字段理论及其CCFT双重
Integrable Field Theories and Their CCFT Duals
论文作者
论文摘要
我们计算了各种二维集成$ s $ matrices的梅林变换，提供了第一个明确的，非扰动的天体CFT实现。在二维中，梅林变换只是速度空间中的傅立叶变换，而“天体相关器”没有位置依赖性。简化的设置使我们能够将CCFT相关器的分析性质完全作为保形维度的函数。我们发现，相关因子作为保形权重的实际分布而存在，而渐近学由模型的质谱和三点耦合控制。将这些模型耦合到JT重力的固定空间极限，可通过迅速变化的重力阶段来保留振幅。我们发现，与重力的耦合平滑了梅林转化的相关器的某些奇异方面。
We compute the Mellin transforms of various two-dimensional integrable $S$-matrices, providing the first explicit, non-perturbative realizations of celestial CFT. In two dimensions, the Mellin transform is simply the Fourier transform in rapidity space, and the "celestial correlator" has no position dependence. The simplified setting allows us to study the analytic properties of CCFT correlators exactly as a function of the conformal dimensions. We find that the correlators exist as real distributions of the conformal weights, with asymptotics controlled by the mass spectrum and three-point couplings of the model. Coupling these models to a flat space limit of JT gravity preserves integrability and dresses the amplitudes by a rapidly varying gravitational phase. We find that the coupling to gravity smooths out certain singular aspects of the Mellin-transformed correlators.
