近日，加拿大理论物理研究所的Eivind Jørstad及其研究小组与美国哈佛大学的Atul Sharma合作并取得一项新进展。经过不懈努力，他们对等效无质量散射的外推字典进行研究。相关研究成果已于2024年2月29日在国际知名学术期刊《高能物理杂志》上发表。

当体态理论被视作天体共形场论（CFT）时，该研究团队深入探索了天体CFT相关函数的特性。他们成功证明了体态映射升压特征态与阴影变换升压特征态之间保持的保形反演关系。这一发现在自由无质量标量的波函数中得到了确凿的证据，并在构建外推字典的过程中发现了其独特的应用价值。

反演过程中，光锥的零无穷和原点被互换，进而揭示了无质量外推字典（包括沿零无穷插入的算子的相关器），与Sleight和Taronna从de Boer和Solodukhin的双曲叶出发研究的逐层外推字典之间的联系。

换言之，Sleight和Taronna的边界相关器与阴影变换的boost本征态的天体振幅相吻合。当将这些天体相关器提升到爱因斯坦圆柱体上时，这些观点得到了统一。这为从AdS/CFT平面极限中提取s-矩阵提供了新的视角和思路。

附：英文原文

Title: Equating extrapolate dictionaries for massless scattering

Author: Jorstad, Eivind, Pasterski, Sabrina, Sharma, Atul

Issue&Volume: 2024-02-29

Abstract: We study features of celestial CFT correlation functions when the bulk theory is itself a CFT. We show that conformal inversions in the bulk map boost eigenstates to shadow transformed boost eigenstates. This is demonstrated explicitly for the wavefunctions of free massless scalars, and finds interesting applications to building extrapolate dictionaries. Because inversions exchange null infinity and the light cone of the origin, one finds a relation between the massless extrapolate dictionary — involving correlators of operators inserted along null infinity — and the slice-by-slice extrapolate dictionary recently studied by Sleight and Taronna starting from the hyperbolic foliation of de Boer and Solodukhin. Namely, boundary correlators of Sleight and Taronna coincide with celestial amplitudes of shadow transformed boost eigenstates. These considerations are unified by lifting celestial correlators to the Einstein cylinder. This also sheds new light on the extraction of the s-matrix from the flat limit of AdS/CFT.

DOI: 10.1007/JHEP02(2024)228

Source: https://link.springer.com/article/10.1007/JHEP02(2024)228