论文标题
从天体相关器到广告，然后返回
From Celestial Correlators to AdS, and back
论文作者
论文摘要
我们在$ d $ dimensions中的天体相关函数与$ \ left（d+1 \右）$ - 维度欧几里得抗De安慰剂（EADS）空间之间的一般关系与扰动理论中的所有订单之间的一般关系。接触图过程与接触Witten图成正比，并且可以重新涂片作为粒子交换的粒子交换，其中EAD的粒子交换的连续体，其中交换的粒子带有$ so \ so s so s so s so \ so \ so \ so \ so \ so \ so \ so \ so \ so \ so \ so \ so \ so \ so \ so \。然后，人们可以尝试导入熟悉的EADS技术来研究天体相关器的特性。在这项工作中，我们使用这种关系来推断天体相关因子的共形局部波膨胀中光谱密度的分析结构，至少在扰动上应该是频谱参数的Meromorormorphic函数。我们还讨论了欧几里得共形场理论中单位性的非扰动约束，这需要光谱密度的阳性。这扩展了最近在De Sitter空间中的边界相关函数和EADS中的Witten图之间发现的类似关系，这表明EADS可以在所有Lambdas的全息义中发挥核心作用。
We present a general relation between celestial correlation functions in $d$-dimensions and Witten diagrams in $\left(d+1\right)$-dimensional Euclidean anti-de Sitter (EAdS) space, to all orders in perturbation theory. Contact diagram processes are proportional to contact Witten diagrams, and particle exchanges can be recast as a continuum of particle exchanges in EAdS where the exchanged particles carrying unitary Principal Series representations of $SO\left(d+1,1\right)$. One can then try to import familiar EAdS techniques to study the properties of celestial correlators. In this work we use this relation to infer the analytic structure of the spectral density in the conformal partial wave expansion of celestial correlators which, at least perturbatively, should be a meromorphic function of the spectral parameter. We also discuss non-perturbative constraints from unitarity in Euclidean Conformal Field Theory, which requires positivity of the spectral density. This extends similar relations recently uncovered between boundary correlation functions in de Sitter space and Witten diagrams in EAdS, suggesting that EAdS could play a central role in efforts towards holography for all lambdas.
